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Journal articles on the topic 'Proximity analysis'

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Published: 10 December 2022

Last updated: 28 January 2023

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1

Juarros, E. G., J. D. P. Castrillo, and M. A. D. Vicente. "On Fuzzy Proximity Spaces." Journal of Mathematical Analysis and Applications 179, no. 1 (October 1993): 297–308. http://dx.doi.org/10.1006/jmaa.1993.1351.

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2

Argyros, S. A., A. Manoussakis, and A. Pelczar-Barwacz. "On the hereditary proximity to ℓ1." Journal of Functional Analysis 261, no. 5 (September 2011): 1145–203. http://dx.doi.org/10.1016/j.jfa.2011.04.012.

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3

Spence, Ian, B. S. Everitt, and S. Rabe-Hesketh. "The Analysis of Proximity Data." Journal of the American Statistical Association 93, no. 444 (December 1998): 1524. http://dx.doi.org/10.2307/2670070.

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4

Lee, Kwan. "The Analysis of Proximity Data." Technometrics 41, no. 1 (February 1999): 73–74. http://dx.doi.org/10.1080/00401706.1999.10485599.

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5

Armborst, Andreas. "Thematic Proximity in Content Analysis." SAGE Open 7, no. 2 (April 2017): 215824401770779. http://dx.doi.org/10.1177/2158244017707797.

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6

Odell, Edward, Nicole Tomczak-Jaegermann, and Roy Wagner. "Proximity to ℓ1and Distortion in Asymptotic L1Spaces." Journal of Functional Analysis 150, no. 1 (October 1997): 101–45. http://dx.doi.org/10.1006/jfan.1997.3106.

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7

Mustafin, T. G. "Similarities and proximity of complete theories." Algebra and Logic 29, no. 2 (March 1990): 125–34. http://dx.doi.org/10.1007/bf02001357.

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8

Kapinski, Jim, Klaus Schmidt, and Bruce H. Krogh. "Reachability analysis using proximity based automata *." IFAC Proceedings Volumes 37, no. 18 (September 2004): 315–20. http://dx.doi.org/10.1016/s1474-6670(17)30765-6.

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9

Astashova, Irina, Miroslav Bartušek, Zuzana Došlá, and Mauro Marini. "Asymptotic proximity to higher order nonlinear differential equations." Advances in Nonlinear Analysis 11, no. 1 (January 1, 2022): 1598–613. http://dx.doi.org/10.1515/anona-2022-0254.

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Abstract The existence of unbounded solutions and their asymptotic behavior is studied for higher order differential equations considered as perturbations of certain linear differential equations. In particular, the existence of solutions with polynomial-like or noninteger power-law asymptotic behavior is proved. These results give a relation between solutions to nonlinear and corresponding linear equations, which can be interpreted, roughly speaking, as an asymptotic proximity between the linear case and the nonlinear one. Our approach is based on the induction method, an iterative process and suitable estimates for solutions to the linear equation.

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10

Kitahara, Tomonari, and Takashi Tsuchiya. "Proximity of Weighted and Layered Least Squares Solutions." SIAM Journal on Matrix Analysis and Applications 31, no. 3 (January 2010): 1172–86. http://dx.doi.org/10.1137/080725787.

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11

Juarros, E. González, J. D. Pérez Castrillo, and M. A. de Prada Vicente. "A note on fuzzy proximity spaces." Journal of Mathematical Analysis and Applications 133, no. 2 (August 1988): 355–58. http://dx.doi.org/10.1016/0022-247x(88)90406-4.

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12

Charoensawan, Phakdi, and Tanadon Chaobankoh. "Best Proximity Point Theorems for G , D -Proximal Geraghty Maps in J S -Metric Spaces." Journal of Function Spaces 2020 (November 27, 2020): 1–7. http://dx.doi.org/10.1155/2020/5681253.

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We study G , D -proximal Geraghty contractions in a J S -metric space X endowed with graph G . We obtain some best proximity theorems for such contractions. An example and several consequences are given. As a consequence of our results, we also provide the best proximity point results in X endowed with a binary relation.

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13

Farheen, Misbah, Tayyab Kamran, and Azhar Hussain. "Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space." Journal of Function Spaces 2021 (December 3, 2021): 1–9. http://dx.doi.org/10.1155/2021/1373945.

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In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples.

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14

Schramm, Oded, and Wang Zhou. "Boundary proximity of SLE." Probability Theory and Related Fields 146, no. 3-4 (January 6, 2009): 435–50. http://dx.doi.org/10.1007/s00440-008-0195-1.

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15

Choudhury, Binayak S., Pranati Maity, and Nikhilesh Metiya. "Best proximity point results in set-valued analysis." Nonlinear Analysis: Modelling and Control 21, no. 3 (May 20, 2016): 293–305. http://dx.doi.org/10.15388/na.2016.3.1.

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Here we introduce certain multivalued maps and use them to obtain minimum distance between two closed sets. It is a proximity point problem which is treated here as a problem of finding global optimal solutions of certain fixed point inclusions. It is an application of set-valued analysis. The results we obtain here extend some results and are illustrated with examples. Applications are made to the corresponding single valued cases.

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16

Wiriyapongsanon, Atit, Phakdi Charoensawan, and Tanadon Chaobankoh. "Best Proximity Coincidence Point Results for α , D -Proximal Generalized Geraghty Mappings in J S -Metric Spaces." Journal of Function Spaces 2020 (November 21, 2020): 1–9. http://dx.doi.org/10.1155/2020/8832662.

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We introduce a type of Geraghty contractions in a J S -metric space X , called α , D -proximal generalized Geraghty mappings. By using the triangular- α , D -proximal admissible property, we obtain the existence and uniqueness theorem of best proximity coincidence points for these mappings together with some corollaries and illustrative examples. As an application, we give a best proximity coincidence point result in X endowed with a binary relation.

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17

Evans, Richard H. "Preference Formation: An Analysis of Attribute Proximity." Psychological Reports 57, no. 3_suppl (December 1985): 1084–86. http://dx.doi.org/10.2466/pr0.1985.57.3f.1084.

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This study examined the hypothesis that there should be a positive and significant relationship between features and perceptions relative to proximity. A Pearson correlation of .57 for 136 undergraduates confirmed the hypothesis. The majority of individual features and perceptions measured on the basis of proximity were positively and significantly related.

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18

Fujimaki, Akira, Tomohiro Tamaoki, Tetsuya Hidaka, Masashi Yanagase, Tetsuyoshi Shiota, Yoshiaki Takai, and Hisao Hayakawa. "Experimental Analysis of YBa2Cu3Ox/Ag Proximity Interfaces." Japanese Journal of Applied Physics 29, Part 2, No. 9 (September 20, 1990): L1659—L1662. http://dx.doi.org/10.1143/jjap.29.l1659.

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19

Klauer, Karl Christoph. "Book Review: The analysis of proximity data." Statistical Methods in Medical Research 9, no. 1 (February 2000): 74. http://dx.doi.org/10.1177/096228020000900109.

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20

Jleli, Mohamed, Erdal Karapınar, Adrian Petruşel, Bessem Samet, and Calogero Vetro. "Optimization Problems via Best Proximity Point Analysis." Abstract and Applied Analysis 2014 (2014): 1. http://dx.doi.org/10.1155/2014/178040.

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21

Wallner, Johannes. "Smoothness Analysis of Subdivision Schemes by Proximity." Constructive Approximation 24, no. 3 (July 21, 2006): 289–318. http://dx.doi.org/10.1007/s00365-006-0638-3.

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22

Eldred, A. Anthony, and P. Veeramani. "Existence and convergence of best proximity points." Journal of Mathematical Analysis and Applications 323, no. 2 (November 2006): 1001–6. http://dx.doi.org/10.1016/j.jmaa.2005.10.081.

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23

Srinivasan, P. S., and P. Veeramani. "On best proximity pair theorems and fixed-point theorems." Abstract and Applied Analysis 2003, no. 1 (2003): 33–47. http://dx.doi.org/10.1155/s1085337503209064.

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The significance of fixed-point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear. On the other hand, if the fixed-point equationTx=xdoes not possess a solution, it is contemplated to resolve a problem of finding an elementxsuch thatxis in proximity toTxin some sense. Best proximity pair theorems analyze the conditions under which the optimization problem, namelyminx∈A d(x,Tx)has a solution. In this paper, we discuss the difference between best approximation theorems and best proximity pair theorems. We also discuss an application of a best proximity pair theorem to the theory of games.

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24

Mahdad, Maral, Thai Thi Minh, Marcel L. A. M. Bogers, and Andrea Piccaluga. "Joint university-industry laboratories through the lens of proximity dimensions: moving beyond geographical proximity." International Journal of Innovation Science 12, no. 4 (November 27, 2020): 433–56. http://dx.doi.org/10.1108/ijis-10-2019-0096.

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Purpose There is little known about investigating the importance of all proximity dimensions simultaneously as a result of geographical proximity on university-industry collaborative innovation. This paper aims to answer the question of how geographically proximate university and industry influence cognitive, social, organizational, institutional and cultural proximity within university-industry joint laboratories and finally, what is the outcome of these interplays on collaborative innovation. Design/methodology/approach The study uses an exploratory multiple-case study approach. The results are derived from 53 in-depth, semistructured interviews with laboratory directors and representatives from both the company and the university within 8 joint laboratories of Telecom Italia (TIM). The data collection was carried out in 2014 and 2015. The analysis follows a multi-grounded theory approach and relies on a mix of deductive and inductive reasoning with the final goal of theoretical elaboration. Findings This study finds the role of social and cultural proximity at the individual level as a result of geographical proximity as an enabler of collaborative innovation by triggering mutual learning, trust formation and frequent interactions. Cognitive proximity at the interface level could systematically influence collaborative innovation, while organizational and institutional proximity has marginal roles in facilitating collaborative innovation. The qualitative analysis offers a conceptual framework for proximity dimensions and collaborative innovation within university-industry joint laboratories. Practical implications The framework not only advances state-of-the-art university-industry collaboration and proximity dimension but also offers guidance for managers in designing collaborative innovation settings between university and industry. Originality/value With this study, the paper advances the understanding beyond solely the relationship between proximity and collaboration and shed light on the interplay between geographical proximity and other proximity dimensions in this context, which has received limited scholarly attention.

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25

Sinčić, Marko, Sanja Bernat Gazibara, Martin Krkač, and Snježana Mihalić Arbanas. "Landslide susceptibility assessment of the City of Karlovac using the bivariate statistical analysis." Rudarsko-geološko-naftni zbornik 38, no. 2 (2022): 149–70. http://dx.doi.org/10.17794/rgn.2022.2.13.

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A preliminary landslide susceptibility analysis on a regional scale of 1:100 000 using bivariate statistics was conducted for the City of Karlovac. The City administration compiled landslide inventory used in the analysis based on recorded landslides from 2014 to 2019 that caused significant damage to buildings or infrastructures. Analyses included 17 geofactors relevant to landslide occurrence and classified them into four groups: geomorphological (elevation, slope gradient, slope orientation, terrain curvature, terrain roughness), geological (lithology-rock type, proximity to geological contacts, proximity to faults), hydrological (proximity to drainage network, proximity to springs, proximity to temporary, permanent and to all streams, topographic wetness) and anthropogenic (proximity to traffic infrastructure, land cover using two classifications). Five scenarios were defined using a different combination of geofactors weighted by the Weights-of-Evidence (WoE) method, resulting in five different landslide susceptibility maps. The best landslide susceptibility map was selected upon the results of a ROC curve analysis, which was used to obtain success and prediction rates of each scenario. The novelty in the presented research is that a limited amount of thematic data and an incomplete landslide inventory map allows for the production of a preliminary landslide susceptibility map for usage in spatial planning. Also, this study provides a discussion regarding the used method, geofactors, defined scenarios and reliability of the results. The final preliminary landslide susceptibility map was derived using ten geofactors, which satisfied the pairwise CI test, and it is classified in four zones: low landslide susceptibility (57.05% of the area), medium landslide susceptibility (20.63% of the area), high landslide susceptibility (13.28% of the area), and very high landslide susceptibility (9.03% of the area), and has a success rate of 94% and a prediction rate of 93% making it a highly accurate source of preliminary information for the study area.

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26

Ahmadi, Reza, Asadollah Niknam, and Majid Derafshpour. "Best proximity theorems of proximal multifunctions." Fixed Point Theory 22, no. 1 (February 1, 2021): 3–14. http://dx.doi.org/10.24193/fpt-ro.2021.1.01.

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27

Parvaneh, Vahid, Mohammad Reza Haddadi, and Hassen Aydi. "On Best Proximity Point Results for Some Type of Mappings." Journal of Function Spaces 2020 (May 28, 2020): 1–6. http://dx.doi.org/10.1155/2020/6298138.

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In this paper, we give new conditions for existence and uniqueness of a best proximity point for Geraghty- and Caristi-type mappings. The presented results are most valuable generalizations of the Geraghty and Caristi fixed point theorems.

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28

Xie, Gang, and Thomas P. Y. Yu. "Invariance property of proximity conditions in nonlinear subdivision." Journal of Approximation Theory 164, no. 8 (August 2012): 1097–110. http://dx.doi.org/10.1016/j.jat.2012.05.001.

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29

Utev, Dmitry A., Irina V. Borisova, and Valery P. Yushchenko. "ANALYSIS OF ROTATION AND SCALE INVARIANCE FOR PROXIMITY MEASURES IN TARGET DETECTION." Interexpo GEO-Siberia 8, no. 2 (July 8, 2020): 100–106. http://dx.doi.org/10.33764/2618-981x-2020-8-2-100-106.

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The problem of stability of object detection in images using proximity measures is considered. The purpose of the work is to determine the degree of invariance of various proximity measures for detecting objects by reference when rotating and zooming the scanned image. The proximity measure that is most resistant to these geometric transformations of the image is found out. The proximity measures are analyzed: correlation, comparison, Chamfer Distance. The target location is based on the coordinates of the extremum of the target function. Modeling is performed in the Matlab software package. A database of thirty television images was created to test the proximity measures. Test images contain the required objects and imitations of both complex and simple backgrounds. It was determined that all considered proximity measures steadily determine the target with small turns and scaling factors.

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30

Kar, Samir, and P. Veeramani. "Best proximity version of Krasnoselskii's fixed point theorem." Acta Scientiarum Mathematicarum 86, no. 12 (2020): 265–71. http://dx.doi.org/10.14232/actasm-019-018-4.

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31

Plebaniak, Robert. "Best Proximity Point Theorem in Quasi-Pseudometric Spaces." Abstract and Applied Analysis 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/9784592.

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In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with respect to generalized pseudodistances. Next, inspired by Abkar and Gabeleh we proved new best proximity point theorem in a quasi-pseudometric space. A best proximity point theorem furnishes sufficient conditions that ascertain the existence of an optimal solution to the problem of globally minimizing the errorinf⁡{d(x,y):y∈T(x)}, and hence the existence of a consummate approximate solution to the equationT(X)=x.

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32

Al-Thagafi, M. A., and Naseer Shahzad. "Convergence and existence results for best proximity points." Nonlinear Analysis: Theory, Methods & Applications 70, no. 10 (May 2009): 3665–71. http://dx.doi.org/10.1016/j.na.2008.07.022.

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33

Ali, Muhammad Usman, Tayyab Kamran, and Naseer Shahzad. "Best Proximity Point forα-ψ-Proximal Contractive Multimaps." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/181598.

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We extend the notions ofα-ψ-proximal contraction andα-proximal admissibility to multivalued maps and then using these notions we obtain some best proximity point theorems for multivalued mappings. Our results extend some recent results by Jleli and those contained therein. Some examples are constructed to show the generality of our results.

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34

Kim, Won Kyu, and Kyoung Hee Lee. "Existence of best proximity pairs and equilibrium pairs." Journal of Mathematical Analysis and Applications 316, no. 2 (April 2006): 433–46. http://dx.doi.org/10.1016/j.jmaa.2005.04.053.

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35

Daniore, Paola, Vasileios Nittas, André Moser, Marc Höglinger, and Viktor von Wyl. "Using Venn Diagrams to Evaluate Digital Contact Tracing: Panel Survey Analysis." JMIR Public Health and Surveillance 7, no. 12 (December 6, 2021): e30004. http://dx.doi.org/10.2196/30004.

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Background Mitigation of the spread of infection relies on targeted approaches aimed at preventing nonhousehold interactions. Contact tracing in the form of digital proximity tracing apps has been widely adopted in multiple countries due to its perceived added benefits of tracing speed and breadth in comparison to traditional manual contact tracing. Assessments of user responses to exposure notifications through a guided approach can provide insights into the effect of digital proximity tracing app use on managing the spread of SARS-CoV-2. Objective The aim of this study was to demonstrate the use of Venn diagrams to investigate the contributions of digital proximity tracing app exposure notifications and subsequent mitigative actions in curbing the spread of SARS-CoV-2 in Switzerland. Methods We assessed data from 4 survey waves (December 2020 to March 2021) from a nationwide panel study (COVID-19 Social Monitor) of Swiss residents who were (1) nonusers of the SwissCovid app, (2) users of the SwissCovid app, or (3) users of the SwissCovid app who received exposure notifications. A Venn diagram approach was applied to describe the overlap or nonoverlap of these subpopulations and to assess digital proximity tracing app use and its associated key performance indicators, including actions taken to prevent SARS-CoV-2 transmission. Results We included 12,525 assessments from 2403 participants, of whom 50.9% (1222/2403) reported not using the SwissCovid digital proximity tracing app, 49.1% (1181/2403) reported using the SwissCovid digital proximity tracing app and 2.5% (29/1181) of the digital proximity tracing app users reported having received an exposure notification. Most digital proximity tracing app users (75.9%, 22/29) revealed taking at least one recommended action after receiving an exposure notification, such as seeking SARS-CoV-2 testing (17/29, 58.6%) or calling a federal information hotline (7/29, 24.1%). An assessment of key indicators of mitigative actions through a Venn diagram approach reveals that 30% of digital proximity tracing app users (95% CI 11.9%-54.3%) also tested positive for SARS-CoV-2 after having received exposure notifications, which is more than 3 times that of digital proximity tracing app users who did not receive exposure notifications (8%, 95% CI 5%-11.9%). Conclusions Responses in the form of mitigative actions taken by 3 out of 4 individuals who received exposure notifications reveal a possible contribution of digital proximity tracing apps in mitigating the spread of SARS-CoV-2. The application of a Venn diagram approach demonstrates its value as a foundation for researchers and health authorities to assess population-level digital proximity tracing app effectiveness by providing an intuitive approach for calculating key performance indicators.

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36

Hussain, N., M. A. Kutbi, and P. Salimi. "Best Proximity Point Results for Modified --Proximal Rational Contractions." Abstract and Applied Analysis 2013 (2013): 1–14. http://dx.doi.org/10.1155/2013/927457.

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We first introduce certain new concepts of --proximal admissible and ---rational proximal contractions of the first and second kinds. Then we establish certain best proximity point theorems for such rational proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces. The presented results generalize and improve various known results from best proximity point theory. Several interesting consequences of our obtained results are presented in the form of new fixed point theorems which contain famous Banach's contraction principle and some of its generalizations as special cases. Moreover, some examples are given to illustrate the usability of the obtained results.

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37

Grohs, Philipp. "Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity." SIAM Journal on Numerical Analysis 46, no. 4 (January 2008): 2169–82. http://dx.doi.org/10.1137/060669759.

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38

Bassou, Abdelhafid, Taoufik Sabar, and Mohamed Aamri. "Best Proximity Point for Generalized and S -Geraphty Contractions." Abstract and Applied Analysis 2021 (March 25, 2021): 1–8. http://dx.doi.org/10.1155/2021/6659358.

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This paper introduces a new class of mappings called S -Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and generalize some theorems in the literature.

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39

Chaira, K., S. Chaira, and S. Lazaiz. "Best Proximity Point Theorems for Cyclic Contractions Mappings in Banach Algebras." Journal of Function Spaces 2020 (November 5, 2020): 1–8. http://dx.doi.org/10.1155/2020/8889508.

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In this paper, we present some new best proximity point theorems for three operators acting in Banach algebras. An application is given to show the usefulness and the applicability of the obtained results.

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Babichev, Sergii, Lyudmyla Yasinska-Damri, Igor Liakh, and Bohdan Durnyak. "Comparison Analysis of Gene Expression Profiles Proximity Metrics." Symmetry 13, no. 10 (September 28, 2021): 1812. http://dx.doi.org/10.3390/sym13101812.

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The problems of gene regulatory network (GRN) reconstruction and the creation of disease diagnostic effective systems based on genes expression data are some of the current directions of modern bioinformatics. In this manuscript, we present the results of the research focused on the evaluation of the effectiveness of the most used metrics to estimate the gene expression profiles’ proximity, which can be used to extract the groups of informative gene expression profiles while taking into account the states of the investigated samples. Symmetry is very important in the field of both genes’ and/or proteins’ interaction since it undergirds essentially all interactions between molecular components in the GRN and extraction of gene expression profiles, which allows us to identify how the investigated biological objects (disease, state of patients, etc.) contribute to the further reconstruction of GRN in terms of both the symmetry and understanding the mechanism of molecular element interaction in a biological organism. Within the framework of our research, we have investigated the following metrics: Mutual information maximization (MIM) using various methods of Shannon entropy calculation, Pearson’s χ2 test and correlation distance. The accuracy of the investigated samples classification was used as the main quality criterion to evaluate the appropriate metric effectiveness. The random forest classifier (RF) was used during the simulation process. The research results have shown that results of the use of various methods of Shannon entropy within the framework of the MIM metric disagree with each other. As a result, we have proposed the modified mutual information maximization (MMIM) proximity metric based on the joint use of various methods of Shannon entropy calculation and the Harrington desirability function. The results of the simulation have also shown that the correlation proximity metric is less effective in comparison to both the MMIM metric and Pearson’s χ2 test. Finally, we propose the hybrid proximity metric (HPM) that considers both the MMIM metric and Pearson’s χ2 test. The proposed metric was investigated within the framework of one-cluster structure effectiveness evaluation. To our mind, the main benefit of the proposed HPM is in increasing the objectivity of mutually similar gene expression profiles extraction due to the joint use of the various effective proximity metrics that can contradict with each other when they are used alone.

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41

Dighe, Shreyas. "ANALYSIS OF SMART STORE SOLUTIONS USING PROXIMITY TECHNOLOGIES." International Journal of Advanced Research in Computer Science 8, no. 9 (September 30, 2017): 170–76. http://dx.doi.org/10.26483/ijarcs.v8i9.4818.

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42

Kecskés, Petra. "The analysis of proximity in the creative sector." Hungarian Statistical Review 2, no. 2 (2019): 106–18. http://dx.doi.org/10.35618/hsr2019.02.en106.

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43

Adil, Ahmat. "Analysis Proximity Menentukan Lokasi Perkebunan Di Lombok Barat." Jurnal Matrik 15, no. 1 (July 26, 2017): 7. http://dx.doi.org/10.30812/matrik.v15i1.27.

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Spatial analysis is a technique or process that involves a number of counts and evaluation logic (mathematical) were performed in order to seek or fid potential relationships or patterns (probably) are among the elements of geographical contained in the digital data with limits certain study areas. One of spatial analysis to build support layer around the layer within a certain range is the proximity analysis. Proximity analysis is an analysis based on the geographical distance between layers. In GIS proximity analysis uses a process called buffering to determine the proximity relationship between the nature of the existing sections. Buffer allows to make a certain area limitation of the desired object.West Lombok district is one of the districts with the potential for tourism and a large plantation in the province of West Nusa Tenggara besides Central Lombok and Lombok to the east. Community or inverstor have many options to choose according kriteia gardening location they want. The results of spatial operations conducted as buffers, unions and the query will help to determine the required location. Spatial analysis is helpful to get the location in accordance with defied criteria, such as the distance from roads and settlements, and its land area as needed. Based on the analysis that has been done, a spatial map of plantation land in accordance with the criteria of very petrifid decision makers.

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44

Grohs, Philipp. "A General Proximity Analysis of Nonlinear Subdivision Schemes." SIAM Journal on Mathematical Analysis 42, no. 2 (January 2010): 729–50. http://dx.doi.org/10.1137/09075963x.

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45

Beames, Alistair, Steven Broekx, Uwe Schneidewind, Dries Landuyt, Maarten van der Meulen, Reinout Heijungs, and Piet Seuntjens. "Amenity proximity analysis for sustainable brownfield redevelopment planning." Landscape and Urban Planning 171 (March 2018): 68–79. http://dx.doi.org/10.1016/j.landurbplan.2017.12.003.

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46

Dallasega, Patrick, and Joseph Sarkis. "Understanding greening supply chains: Proximity analysis can help." Resources, Conservation and Recycling 139 (December 2018): 76–77. http://dx.doi.org/10.1016/j.resconrec.2018.07.032.

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47

Chatterjee, Tapan K. "A Dynamical Proximity Analysis of Interacting Galaxy Pairs." International Astronomical Union Colloquium 124 (1990): 569–75. http://dx.doi.org/10.1017/s0252921100005662.

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AbstractUsing the impulsive approximation to study the velocity changes of stars during disk-sphere collisions and a method due to Bottlinger to study the post collision orbits of stars, the formation of various types of interacting galaxies is studied as a function of the distance of closest approach between the two galaxies.

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48

Walia, Anupreet, and Jochen Teizer. "Analysis of spatial data structures for proximity detection." Tsinghua Science and Technology 13, S1 (October 2008): 102–7. http://dx.doi.org/10.1016/s1007-0214(08)70134-2.

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., Mahesh C. P. "ANALYSIS OF PROXIMITY COUPLED EQUILATERAL TRIANGULAR MICROSTRIP ANTENNA." International Journal of Research in Engineering and Technology 03, no. 15 (May 25, 2014): 226–28. http://dx.doi.org/10.15623/ijret.2014.0315043.

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50

Shanjit, Laishram, Yumnam Rohen, Sumit Chandok, and M. Bina Devi. "Some Results on Iterative Proximal Convergence and Chebyshev Center." Journal of Function Spaces 2021 (January 7, 2021): 1–8. http://dx.doi.org/10.1155/2021/8863325.

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In this paper, we prove a sufficient condition that every nonempty closed convex bounded pair M , N in a reflexive Banach space B satisfying Opial’s condition has proximal normal structure. We analyze the relatively nonexpansive self-mapping T on M ∪ N satisfying T M ⊆ M and T N ⊆ N , to show that Ishikawa’s and Halpern’s iteration converges to the best proximity point. Also, we prove that under relatively isometry self-mapping T on M ∪ N satisfying T N ⊆ N and T M ⊆ M , Ishikawa’s iteration converges to the best proximity point in the collection of all Chebyshev centers of N relative to M . Some illustrative examples are provided to support our results.

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