Relevant bibliographies by topics / Mappings (Mathematics)

Academic literature on the topic 'Mappings (Mathematics)'

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Published: 4 June 2021
Last updated: 29 July 2024

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Journal articles on the topic "Mappings (Mathematics)"

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Sarsak, Mohammad S. "Weak Forms of Continuity andcmd="newline"Associated Properties." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–9. http://dx.doi.org/10.1155/2008/790964.

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We introduce slightly -continuous mapping and almost -open mapping and investigate the relationships between these mappings and related types of mappings, and also study some properties of these mappings.
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Li, Liulan, and Saminathan Ponnusamy. "Rotations and convolutions of harmonic convex mappings." Filomat 36, no. 11 (2022): 3845–60. http://dx.doi.org/10.2298/fil2211845l.

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In this paper, we mainly consider the convolutions of slanted half-plane mappings and strip mappings of the unit disk D. If f1 is a slanted half-plane mapping and f2 is a slanted half-plane mapping or a strip mapping, then we prove that f1 * f2 is convex in some direction if f1 * f2 is locally univalent in D. We also obtain two sufficient conditions for f1 * f2 to be locally univalent in D. Our results extend many of the recent results in this direction. Moreover, we consider a class of harmonic mappings including slanted half-plane mappings and strip mappings, and as a consequence, we prove that the any convex combination of such locally univalent and sense-preserving mappings is also convex.
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Gupta, Sanjeev, Shamshad Husain, and Vishnu Mishra. "Variational inclusion governed by αβ-H((.,.),(.,.))-mixed accretive mapping." Filomat 31, no. 20 (2017): 6529–42. http://dx.doi.org/10.2298/fil1720529g.

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In this paper, we look into a new concept of accretive mappings called ??-H((.,.),(.,.))-mixed accretive mappings in Banach spaces. We extend the concept of proximal-point mappings connected with generalized m-accretive mappings to the ??-H((.,.),(.,.))-mixed accretive mappings and discuss its characteristics like single-valuable and Lipschitz continuity. Some illustration are given in support of ??-H((.,.),(.,.))-mixed accretive mappings. Since proximal point mapping is a powerful tool for solving variational inclusion. Therefore, As an application of introduced mapping, we construct an iterative algorithm to solve variational inclusions and show its convergence with acceptable assumptions.
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Bridges, Douglas, and Ray Mines. "Sequentially continuous linear mappings in constructive analysis." Journal of Symbolic Logic 63, no. 2 (June 1998): 579–83. http://dx.doi.org/10.2307/2586851.

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A mapping u: X → Y between metric spaces is sequentially continuous if for each sequence (xn) converging to x ∈ X, (u(xn)) converges to u(x). It is well known in classical mathematics that a sequentially continuous mapping between metric spaces is continuous; but, as all proofs of this result involve the law of excluded middle, there appears to be a constructive distinction between sequential continuity and continuity. Although this distinction is worth exploring in its own right, there is another reason why sequential continuity is interesting to the constructive mathematician: Ishihara [8] has a version of Banach's inverse mapping theorem in functional analysis that involves the sequential continuity, rather than continuity, of the linear mappings; if this result could be upgraded by deleting the word “sequential”, then we could prove constructively the standard versions of the inverse mapping theorem and the closed graph theorem.Troelstra [9] showed that in Brouwer's intuitionistic mathematics (INT) a sequentially continuous mapping on a separable metric space is continuous. On the other hand, Ishihara [6, 7] proved constructively that the continuity of sequentially continuous mappings on a separable metric space is equivalent to a certain boundedness principle for subsets of ℕ; in the same paper, he showed that the latter principle holds within the recursive constructive mathematics (RUSS) of the Markov School. Since it is not known whether that principle holds within Bishop's constructive mathematics (BISH), of which INT and RUSS are models and which can be regarded as the constructive core of mathematics, the exploration of sequential continuity within BISH holds some interest.
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Joseph, S., R. Balakumar, and A. Swaminathan. "Fuzzy totally semi alpha-irresolute mappings." Boletim da Sociedade Paranaense de Matemática 41 (December 24, 2022): 1–7. http://dx.doi.org/10.5269/bspm.51341.

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The aim of this article is to introduce two new classes of mappings called fuzzy totally semi -irresolute mapping and fuzzy totally almost irresolute mapping. Moreover, their characterizations , examples and compositions of these mappings, their relationships between other fuzzy mappings are studied.
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Huang, Manzi, Antti Rasila, and Xiantao Wang. "Mapping problems for quasiregular mappings." Filomat 27, no. 2 (2013): 391–402. http://dx.doi.org/10.2298/fil1302391h.

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Gupta, Sanjeev, and Faizan Khan. "A class of Yosida inclusion and graph convergence on Yosida approximation mapping with an application." Filomat 37, no. 15 (2023): 4881–902. http://dx.doi.org/10.2298/fil2315881g.

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The proposed work is presented in two folds. The first aim is to deals with the new notion called generalized ?i?j-Hp(., ., ...)-accretive mappings that are the sum of two symmetric accretive mappings. It is an extension of ??-H(., .)-accretive mapping, studied and analyzed by Kazmi [18]. We define the proximalpoint mapping associated with generalized ?i?j-Hp(., ., ...)-accretive mapping and demonstrate aspects on single-valued property and Lipschitz continuity. The graph convergence of generalized ?i?j-Hp(., ., ...)- accretive mapping is discussed. Second aim is to introduce and study the generalized Yosida approximation mapping and Yosida inclusion problem. Next, we obtain the convergence on generalized Yosida approximation mappings by using the graph convergence of generalized ?i?j-Hp(., ., ...)-accretive mappings without using the convergence of its proximal-point mapping. As an application, we consider the Yosida inclusion problem in q-uniformly smooth Banach spaces and propose an iterative scheme connected with generalized Yosida approximation mapping of generalized ?i?j-Hp(., ., ...)-accretive mapping to find a solution of Yosida inclusion problem and discuss its convergence criteria under appropriate assumptions. Some examples are constructed and demonstrate few graphics for the convergence of proximal-point mapping as well as generalized Yosida approximation mapping linked with generalized ?i?j-Hp(., ., ...)-accretive mappings.
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Pavlíček, Libor. "Monotonically Controlled Mappings." Canadian Journal of Mathematics 63, no. 2 (April 1, 2011): 460–80. http://dx.doi.org/10.4153/cjm-2011-004-0.

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Abstract We study classes of mappings between finite and infinite dimensional Banach spaces that are monotone and mappings which are differences of monotone mappings (DM). We prove a Radó–Reichelderfer estimate for monotone mappings in finite dimensional spaces that remains valid for DM mappings. This provides an alternative proof of the Fréchet differentiability a.e. of DM mappings. We establish a Morrey-type estimate for the distributional derivative of monotone mappings. We prove that a locally DM mapping between finite dimensional spaces is also globally DM. We introduce and study a new class of the so-called UDM mappings between Banach spaces, which generalizes the concept of curves of finite variation.
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Chidume, C. E., K. R. Kazmi, and H. Zegeye. "Iterative approximation of a solution of a general variational-like inclusion in Banach spaces." International Journal of Mathematics and Mathematical Sciences 2004, no. 22 (2004): 1159–68. http://dx.doi.org/10.1155/s0161171204209395.

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We introduce a class ofη-accretive mappings in a real Banach space and show that theη-proximal point mapping forη-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involvingη-accretive mappings in real Banach space, and discuss its convergence criteria. The class ofη-accretive mappings includes several important classes of operators that have been studied by various authors.
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Chen, Jiawei, Zhongping Wan, Liuyang Yuan, and Yue Zheng. "Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces." International Journal of Mathematics and Mathematical Sciences 2011 (2011): 1–23. http://dx.doi.org/10.1155/2011/420192.

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We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and Halpern-type iterative algorithms with errors to find fixed points of weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpansive mappings in Banach spaces. The strong convergence theorems for weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpansive mappings are derived under some suitable assumptions. The main results in this paper develop, extend, and improve the corresponding results of Matsushita and Takahashi (2005) and Qin and Su (2007).
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Dissertations / Theses on the topic "Mappings (Mathematics)"

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Weigt, Martin. "Spectrum preserving linear mappings between Banach algebras." Thesis, Stellenbosch : Stellenbosch University, 2003. http://hdl.handle.net/10019.1/53597.

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Thesis (MSc)--University of Stellenbosch, 2003.
ENGLISH ABSTRACT: Let A and B be unital complex Banach algebras with identities 1 and I' respectively. A linear map T : A -+ B is invertibility preserving if Tx is invertible in B for every invertible x E A. We say that T is unital if Tl = I'. IfTx2 = (TX)2 for all x E A, we call T a Jordan homomorphism. We examine an unsolved problem posed by 1. Kaplansky: Let A and B be unital complex Banach algebras and T : A -+ B a unital invertibility preserving linear map. What conditions on A, Band T imply that T is a Jordan homomorphism? Partial motivation for this problem are the Gleason-Kahane-Zelazko Theorem (1968) and a result of Marcus and Purves (1959), these also being special instances of the problem. We will also look at other special cases answering Kaplansky's problem, the most important being the result stating that if A is a von Neumann algebra, B a semi-simple Banach algebra and T : A -+ B a unital bijective invertibility preserving linear map, then T is a Jordan homomorphism (B. Aupetit, 2000). For a unital complex Banach algebra A, we denote the spectrum of x E A by Sp (x, A). Let a(x, A) denote the union of Sp (x, A) and the bounded components of AFRIKAANSE OPSOMMING: Gestel A en B is unitale komplekse Banach algebras met identiteite 1 en I' onderskeidelik. 'n Lineêre afbeelding T : A -+ B is omkeerbaar-behoudend as Tx omkeerbaar in B is vir elke omkeerbare element x E A. Ons sê dat T unitaal is as Tl = I'. As Tx2 = (TX)2 vir alle x E A, dan noem ons T 'n Jordan homomorfisme. Ons ondersoek 'n onopgeloste probleem wat deur I. Kaplansky voorgestel is: Gestel A en B is unitale komplekse Banach algebras en T : A -+ B is 'n unitale omkeerbaar-behoudende lineêre afbeelding. Watter voorwaardes op A, B en T impliseer dat T 'n Jordan homomorfisme is? Gedeeltelike motivering vir hierdie probleem is die Gleason-Kahane-Zelazko Stelling (1968) en 'n resultaat van Marcus en Purves (1959), wat terselfdertyd ook spesiale gevalle van die probleem is. Ons salook na ander spesiale gevalle kyk wat antwoorde lewer op Kaplansky se probleem. Die belangrikste van hierdie resultate sê dat as A 'n von Neumann algebra is, B 'n semi-eenvoudige Banach algebra is en T : A -+ B 'n unitale omkeerbaar-behoudende bijektiewe lineêre afbeelding is, dan is T 'n Jordan homomorfisme (B. Aupetit, 2000). Vir 'n unitale komplekse Banach algebra A, dui ons die spektrum van x E A aan met Sp (x, A). Laat cr(x, A) die vereniging van Sp (x, A) en die begrensde komponente van
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Fahlberg-Stojanovska, Linda Dianne. "Stochastic stability of Lozi mappings." Diss., The University of Arizona, 1989. http://hdl.handle.net/10150/184748.

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We study the Lozi mapping f(x,y) = (1+by-a|x|,x) acting on a compact trapping region in R² and prove that its Sinai-Bowen-Ruelle measure is stable under small random perturbations. This extends the results of Kifer and Young [Y2] for Axiom A attractors to a piecewise hyperbolic setting.
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Adamowicz, Tomasz. "On the geometry of p-harmonic mappings." Related electronic resource: Current Research at SU : database of SU dissertations, recent titles available full text, 2008. http://wwwlib.umi.com/cr/syr/main.

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Jeganathan, P. "Fixed points for nonexpansive mappings in Banach spaces." Master's thesis, University of Cape Town, 1991. http://hdl.handle.net/11427/17067.

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Sarantopoulos, I. C. "Polynomials and multilinear mappings in Banach spaces." Thesis, Brunel University, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.376057.

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Chin, Wai-yi, and 錢慧儀. "Linear maps preserving the spectrum?" Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31225834.

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Wang, Mingxi. "Factorizations of finite mappings on riemann surfaces." Click to view the E-thesis via HKUTO, 2007. http://sunzi.lib.hku.hk/HKUTO/record/B39557789.

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Wang, Mingxi, and 汪明晰. "Factorizations of finite mappings on riemann surfaces." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2007. http://hub.hku.hk/bib/B39557789.

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Villanueva, Segovia Cristina. "Properties of Lipschitz quotient mappings on the plane." Thesis, University of Birmingham, 2018. http://etheses.bham.ac.uk//id/eprint/8266/.

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In the present work, we are concerned with the relation between the Lipschitz and co-Lipschitz constants of a mapping f : R2 → R2 and the cardinality of the inverse image of a point under the mapping f, depending on the norm on R2. It is known that there is a scale of real numbers 0 < ... < Pn <...< P1 < 1 such that for any Lipschitz quotient mapping from the Euclidean plane to itself, if the ratio between the co-Lipschitz and Lipschitz constants of f is bigger than Pn, then the cardinality of any fibre of f is less than or equal to n. Furthermore, it is proven that for the Euclidean case the values of this scale are Pn = 1/n + 1) for each n ∈ N and that these are sharp. A natural question is: given a normed space (R2 , II · II) whether it is possible to find the values of the scale 0 < . . . < pn II · II < ... < p1 II · II < 1 such that for any Lipschitz quotient mapping from (R2, II · II) to itself, with Lipschitz and co-Lipschitz constants equal to L and c respectively, the relation c/L > pn II · II implies #f- 1 (x) ≤ n for all x ∈ R2. In this work we prove that the same "Euclidean scale", Pn = 1/(n+1), works for any norm on the plane. Here we follow the general idea in a previous paper by Maleva but verify details carefully. On the other hand, the question whether this scale is sharp leads to different conclusions. We show that for some non-Euclidean norms the "Euclidean scale" is not sharp, but there are also non-Euclidean norms for which a Lipschitz quotient exists satisfying max# f - 1(x) = 2 and c/L = 1/2.
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Boyd, Zachary M. "Convolutions and Convex Combinations of Harmonic Mappings of the Disk." BYU ScholarsArchive, 2014. https://scholarsarchive.byu.edu/etd/5238.

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Let f_1, f_2 be univalent harmonic mappings of some planar domain D into the complex plane C. This thesis contains results concerning conditions under which the convolution f_1 ∗ f_2 or the convex combination tf_1 + (1 − t)f_2 is univalent. This is a long-standing problem, and I provide several partial solutions. I also include applications to minimal surfaces.
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Books on the topic "Mappings (Mathematics)"

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Narkiewicz, Władysław. Polynomial mappings. Berlin: Springer, 1995.

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Kolchin, V. F. Random mappings. New York: Optimization Software, Inc., Publications Division, 1986.

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Universal spaces and mappings. Amsterdam: Elsevier, 2005.

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Repovš, Dušan. Continuous selections of multivalued mappings. Dordrecht: Kluwer Academic, 1998.

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1935-, Rockafellar R. Tyrrell, and SpringerLink (Online service), eds. Implicit functions and solution mappings: A view from variational analysis. Dordrecht: Springer, 2009.

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Calvez, Patrice Le. Propriétés dynamiques des difféomorphismes de l'anneau et du tore. [Paris]: Société mathématique de France, 1991.

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Calvez, Patrice Le. Propriétés dynamiques des difféomorphismes de l'anneau et du tore. Montrouge: Société mathématique de France, 1991.

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Calvez, Patrice Le. Propriétés dynamiques des difféomorphismes de l'anneau et du tore. Montrouge: Société mathématique de France, 1991.

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Duren, Peter. Quasiconformal Mappings and Analysis: A Collection of Papers Honoring F.W. Gehring. New York, NY: Springer New York, 1998.

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Donal, O'Regan, and Sahu D. R, eds. Fixed point theory for Lipschitzian-type mappings with applications. Dordrecht: Springer, 2008.

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Book chapters on the topic "Mappings (Mathematics)"

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Lang, Serge. "Mappings." In Basic Mathematics, 345–74. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4612-1027-6_15.

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Woźny, Jacek. "Mappings." In How We Understand Mathematics, 51–59. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-77688-0_4.

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Reich, Simeon, and Alexander J. Zaslavski. "Contractive Mappings." In Developments in Mathematics, 119–79. New York, NY: Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4614-9533-8_3.

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Andrews, Ben, and Christopher Hopper. "Harmonic Mappings." In Lecture Notes in Mathematics, 49–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16286-2_3.

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Mardešić, Sibe. "Coherent mappings." In Springer Monographs in Mathematics, 9–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-13064-3_2.

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Lang, Serge. "Conformal Mappings." In Graduate Texts in Mathematics, 208–40. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4757-3083-8_7.

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Blyth, Thomas S., and Edmund F. Robertson. "Linear Mappings." In Springer Undergraduate Mathematics Series, 92–109. London: Springer London, 1998. http://dx.doi.org/10.1007/978-1-4471-3496-1_6.

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Lehto, Olli. "Quasiconformal Mappings." In Graduate Texts in Mathematics, 4–49. New York, NY: Springer New York, 1987. http://dx.doi.org/10.1007/978-1-4613-8652-0_2.

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Vuorinen, Matti. "Quasiregular mappings." In Lecture Notes in Mathematics, 120–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0077907.

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Howie, John M. "Conformal Mappings." In Springer Undergraduate Mathematics Series, 195–215. London: Springer London, 2003. http://dx.doi.org/10.1007/978-1-4471-0027-0_11.

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Conference papers on the topic "Mappings (Mathematics)"

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Swaminathan, A., and K. Balasubramaniyan. "Somewhat continuous mappings via grill." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135273.

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Swaminathan, A., and R. Venugopal. "Somewhat semicontinuous mappings via grill." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135274.

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Venugopal, R., and A. Swaminathan. "Somewhat pairwise fuzzy irresolute mappings." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135279.

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Gürlebeck, K., J. Morais, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Local Properties of Monogenic Mappings." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241595.

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Ng, Zhen Chuan, and Rosihan M. Ali. "Bohr’s inequality for harmonic mappings into a wedge domain." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5136364.

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Marín, Josefa. "Partial quasi-metric completeness and Caristi's type mappings." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756274.

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Kiosak, V., A. Savchenko, and L. Makarenko. "Invariant transformations that preserve mappings." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 13th International Hybrid Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’21. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0100787.

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Sujatha, M., A. Vadivel, R. V. M. Rangarajan, and M. Angayarkanni. "Nano continuous mappings via nano θ open sets." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135275.

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Adilla Farhana Abdul Wahab, Nurul, and Zabidin Salleh. "Fuzzy θ-Semi-Generalized Continuous Mappings." In 2015 International Conference on Research and Education in Mathematics (ICREM7). IEEE, 2015. http://dx.doi.org/10.1109/icrem.2015.7357056.

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Zhanakunova, Meerim, and Bekbolot Kanetov. "On strongly uniformly paracompact spaces and mappings." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040268.

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Reports on the topic "Mappings (Mathematics)"

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Barragán Moreno, Sandra Patricia, and Orlando Aya Corredor. Project-Based Learning as a Teaching and Learning Strategy in University Mathematics: A Mapping Review. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, July 2024. http://dx.doi.org/10.37766/inplasy2024.7.0030.

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Baird, Natalie, Tanushree Bharat Shah, Ali Clacy, Dimitrios Gerontogiannis, Jay Mackenzie, David Nkansah, Jamie Quinn, Hector Spencer-Wood, Keren Thomson, and Andrew Wilson. maths inside Resource Suite with Interdisciplinary Learning Activities. University of Glasgow, February 2021. http://dx.doi.org/10.36399/gla.pubs.234071.

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Maths inside is a photo competition open to everyone living in Scotland, hosted by the University of Glasgow. The maths inside project seeks to nourish a love for mathematics by embarking on a journey of discovery through a creative lens. This suite of resources have been created to inspire entrants, and support families, teachers and those out-of-school to make deeper connections with their surroundings. The maths inside is waiting to be discovered! Also contained in the suite is an example to inspire and support you to design your own interdisciplinary learning (IDL) activity matched to Education Scotland experiences and outcomes (Es+Os), to lead pupils towards the creation of their own entry. These resources are not prescriptive, and are designed with a strong creativity ethos for them to be adapted and delivered in a manner that meets the specific needs of those participating. The competition and the activities can be tailored to meet all and each learners' needs. We recommend that those engaging with maths inside for the first time complete their own mapping exercise linking the designed activity to the Es+Os. To create a collaborative resource bank open to everyone, we invite you to treat these resources as a working document for entrants, parents, carers, teachers and schools to make their own. Please share your tips, ideas and activities at info@mathsinside.com and through our social media channels. Past winning entries of the competition are also available for inspiration and for using as a teaching resource. Already inspired? Enter the competition!
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