Relevant bibliographies by topics / Generalized Metric Spaces

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Generalized Metric Spaces'

Author: Grafiati
Published: 5 October 2024
Last updated: 31 July 2025

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Journal articles on the topic "Generalized Metric Spaces"

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Ur Rehman, Saif, Abeer Jaradat, Sidra Akbar, Sidra Atta, Bosko Damjanovic, and Mohammed Jaradat. "GENERALIZED UNIQUE FIXED POINT RESULTS IN GENERALIZED FUZZY METRIC SPACES." Journal of Mathematical Analysis 15, no. 6 (2024): 30–46. https://doi.org/10.54379/jma-2024-6-3.

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This paper aims to establish some basic properties and generalized unique fixed point (FP) theorems on generalized fuzzy metric spaces (GFM-spaces) by using the rectangular property of the generalized fuzzy metric without the continuity of self-mappings. In support of our results, we present nontrivial illustrative unique FP examples for single-valued contractive type mappings on complete GFM-spaces. This work can be further improved and extend for different types of single-valued mappings on GFM-spaces with supportive trivial and nontrivial illustrative examples.
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Kucuk, Serife, and Hafize Gumus. "GENERALIZED METRIC SPACES AND LACUNARY STATISTICAL CONVERGENCE." Journal of Mathematical Analysis 13, no. 6 (2002): 16–24. https://doi.org/10.54379/jma-2022-6-2.

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In this study, we examine lacunary statistical convergence on g−metric spaces. g−metric spaces are metric spaces that have been gener- alized by defining the distance concept between n + 1 points. In this sense, we denote the relationships between gS, gSθ , gNθ and gC1 which we have found to be related to each other.
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BEG, ISMAT, MUJAHID ABBAS, and TALAT NAZIR. "GENERALIZED CONE METRIC SPACES." Journal of Nonlinear Sciences and Applications 03, no. 01 (2010): 21–31. http://dx.doi.org/10.22436/jnsa.003.01.03.

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Ali, Basit, Hammad Ali, Talat Nazir, and Zakaria Ali. "Existence of Fixed Points of Suzuki-Type Contractions of Quasi-Metric Spaces." Mathematics 11, no. 21 (2023): 4445. http://dx.doi.org/10.3390/math11214445.

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In order to generalize classical Banach contraction principle in the setup of quasi-metric spaces, we introduce Suzuki-type contractions of quasi-metric spaces and prove some fixed point results. Further, we suggest a correction in the definition of another class of quasi-metrics known as Δ-symmetric quasi-metrics satisfying a weighted symmetry property. We discuss equivalence of various types of completeness of Δ-symmetric quasi-metric spaces. At the end, we consider the existence of fixed points of generalized Suzuki-type contractions of Δ-symmetric quasi-metric spaces. Some examples have be
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Rossafi, Mohamed, та Kari Abdelkarim. "Fixed point theorems for generalized θ-φ-contraction mappings in rectangular quasi b-metric spaces". Annals of Mathematics and Computer Science 27 (23 березня 2025): 1–16. https://doi.org/10.56947/amcs.v27.473.

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A generalized version of both rectangular metric spaces and rectangular quasi-metric spaces is known as rectangular quasi b-metric spaces (RQB-MS). In the current work, we define generalized ( θ,φ)-contraction mappings and study fixed point (FP) results for the maps introduced in the setting of rectangular quasi b-metric spaces. Our results generalize many existing results. We also provide examples in support of our main findings.
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Hussain, Nawab, Abdulaziz Alofi, and Osama Alhindi. "COMMON FIXED POINT RESULTS FOR GENERALIZED CONTRACTIONS IN M-METRIC SPACES." Journal of Mathematical Analysis 15, no. 6 (2024): 58–70. https://doi.org/10.54379/jma-2024-6-5.

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The concept of M-metric generalizes both partial metric and conventional metric concepts. The aim of this paper is to investigate certain fixed and common fixed point results for generalized contractive mappings in Mmetric spaces. Moreover, we demonstrate the applicability of our results by providing specific examples. Our findings extend several existing results in the literature, broadening them from conventional metric spaces to M-metric spaces.
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La Rosa, Vincenzo, та Pasquale Vetro. "Common fixed points for α-ψ-φ-contractions in generalized metric spaces". Nonlinear Analysis: Modelling and Control 19, № 1 (2014): 43–54. http://dx.doi.org/10.15388/na.2014.1.3.

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We establish some common fixed point theorems for mappings satisfying an α-ψ-ϕcontractive condition in generalized metric spaces. Presented theorems extend and generalize manyexisting results in the literature.
 Erratum to “Common fixed points for α-ψ-φ-contractions in generalized metric spaces”
 In Example 1 of our paper [V. La Rosa, P. Vetro, Common fixed points for α-ψ-ϕcontractions in generalized metric spaces, Nonlinear Anal. Model. Control, 19(1):43–54, 2014] a generalized metric has been assumed. Nevertheless some mistakes have appeared in the statement. The aim of this note i
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Yang, Hui. "Meir–Keeler Fixed-Point Theorems in Tripled Fuzzy Metric Spaces." Mathematics 11, no. 24 (2023): 4962. http://dx.doi.org/10.3390/math11244962.

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In this paper, we first propose the concept of a family of quasi-G-metric spaces corresponding to the tripled fuzzy metric spaces (or G-fuzzy metric spaces). Using their properties, we give the characterization of tripled fuzzy metrics. Second, we introduce the notion of generalized fuzzy Meir–Keeler-type contractions in G-fuzzy metric spaces. With the aid of the proposed notion, we show that every orbitally continuous generalized fuzzy Meir–Keeler-type contraction has a unique fixed point in complete G-fuzzy metric spaces. In the end, an example illustrates the validity of our results.
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Adewale, O. K., J. O. Olaleru, H. Olaoluwa, and H. Akewe. "Fixed Point Theorems on Generalized Rectangular Metric Spaces." Journal of Mathematical Sciences: Advances and Applications 65, no. 1 (2021): 59–84. http://dx.doi.org/10.18642/jmsaa_7100122185.

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In this paper, we introduce the notion of generalized rectangular metric spaces which extends rectangular metric spaces introduced by Branciari. Analogues of the some well-known fixed point theorems are proved in this space. With an example, it is shown that a generalized rectangular metric space is neither a G-metric space nor a rectangular metric space. Our results generalize many known results in fixed point theory.
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D, Ramesh Kumar. "Generalized Rational Inequalities in Complex Valued Metric Spaces." Journal of Computational Mathematica 1, no. 2 (2017): 121–32. http://dx.doi.org/10.26524/cm21.

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Dissertations / Theses on the topic "Generalized Metric Spaces"

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Sarkis, Ralph. "Lifting Algebraic Reasoning to Generalized Metric Spaces." Electronic Thesis or Diss., Lyon, École normale supérieure, 2024. http://www.theses.fr/2024ENSL0025.

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On retrouve le raisonnement algébrique partout en mathématique et en informatique, et il a déjà été généralisé à pleins de contextes différents. En 2016, Mardare, Panangaden et Plotkin ont introduit les algèbres quantitatives, c'est-à-dire, des espaces métriques équipés d'opérations 1-lipschitzienne relativement à la métrique. Ils ont prouvées des homologues à des résultats importants en algèbre universelle, et en particulier ils ont donné un système de déduction correct et complet qui généralise la logique équationnelle de Birkhoff en remplaçant l'égalité par l'égalité à \varepsilon près. Ça
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Miravet, Fortuño David. "GENERALIZED FUZZY METRIC SPACES DEFINED BY MEANS OF T-NORMS." Doctoral thesis, Universitat Politècnica de València, 2019. http://hdl.handle.net/10251/124816.

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[ES] En 1965 L. Zadeh introdujo el concepto de conjunto fuzzy, estableciendo una nueva línea de investigación, conocida como matemática fuzzy. Desde entonces, varios autores han estado investigando la construcción de una definición consistente de espacio métrico fuzzy. En 1994, George y Veeramani introdujeron y estudiaron un concepto de espacio métrico fuzzy, que era una adecuada modificación del concepto dado por Kramosil y Michalek. Estos conceptos han sido estudiados y desarrollados en diversas líneas durante los últimos 25 años. Con la intención de contribuir a este desarrollo de la teoría
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Tran, Anh Tuyet. "1p spaces." CSUSB ScholarWorks, 2002. https://scholarworks.lib.csusb.edu/etd-project/2238.

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Stares, Ian S. "Extension of functions and generalised metric spaces." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386678.

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Babus, Octavian Vladut. "Generalised distributivity and the logic of metric spaces." Thesis, University of Leicester, 2016. http://hdl.handle.net/2381/37701.

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The aim of the thesis is to work towards a many-valued logic over a commutative unital quantale and, at the same time, towards a generalisation of coalgebraic logic enriched over a commutative unital quantale Ω. This is done by noticing that the contravariant powerset adjunction can be generalised to categories enriched over a commutative unital quantale. From here we define categorical algebras for the monad generated by this adjunction. We finish by showing that these categorical algebras are algebras over Set with operations and equations, and show that in some cases we can restrict the ari
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Shi, Xiaohui. "Graev Metrics and Isometry Groups of Polish Ultrametric Spaces." Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc271898/.

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This dissertation presents results about computations of Graev metrics on free groups and characterizes isometry groups of countable noncompact Heine-Borel Polish ultrametric spaces. In Chapter 2, computations of Graev metrics are performed on free groups. One of the related results answers an open question of Van Den Dries and Gao. In Chapter 3, isometry groups of countable noncompact Heine-Borel Polish ultrametric spaces are characterized. The notion of generalized tree is defined and a correspondence between the isomorphism group of a generalized tree and the isometry group of a Heine-Borel
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Ivana, Štajner-Papuga. "Uopštena konvolucija." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2001. https://www.cris.uns.ac.rs/record.jsf?recordId=5987&source=NDLTD&language=en.

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U ovoj tezi je definisana uop&scaron;tena konvolucija koja pripada domenu pseudo-analize i ima veliku primenu u mnogim matematičkim teorijama, npr. u proba-bilističkim metričkim prostorima, PDJ, teorijama odlučivanja, sistema, kontrole i fazi brojeva. Dokazane su bitne osobine ove operacije sa funkcijama. Dokazana je veza izmedju pseudo-konvolucija baziranih na poluprstenima različitih klasa Definisana je (5, C/)-konvolucija bazirana na uslovno distributivnom poluprstenu ([0,1], S, U)).Dat je jo&scaron; jedan vid uop&scaron;tenja konvolucije baziran na uop&scaron;tenim pseudo-operacijama.<br>I
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Jelena, Stojanov. "Anisotropic frameworks for dynamical systems and image processing." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2015. https://www.cris.uns.ac.rs/record.jsf?recordId=93698&source=NDLTD&language=en.

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The research topic of this PhD thesis is a comparative analysis of classical specic&nbsp;geometric frameworks and of their anisotropic extensions; the construction of three different&nbsp;types of Finsler frameworks, which are suitable for the analysis of the cancer cells population&nbsp;dynamical system; the development of the anisotropic Beltrami framework theory with the&nbsp;derivation of the evolution&nbsp;ow equations corresponding to different classes of anisotropic&nbsp;metrics, and tentative applications in image processing.<br>Predmet istraživanja doktorske disertacije je uporedna an
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Popa-Fischer, Anca. "Generalized Kähler metrics on complex spaces and a supplement to a Theorem of Fornæss and Narasimhan." [S.l. : s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=960695028.

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Abbas, Mujahid. "Soft Set Theory: Generalizations, Fixed Point Theorems, and Applications." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/48470.

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Mathematical models have extensively been used in problems related to engineering, computer sciences, economics, social, natural and medical sciences etc. It has become very common to use mathematical tools to solve, study the behavior and different aspects of a system and its different subsystems. Because of various uncertainties arising in real world situations, methods of classical mathematics may not be successfully applied to solve them. Thus, new mathematical theories such as probability theory and fuzzy set theory have been introduced by mathematicians and computer scientists to
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Books on the topic "Generalized Metric Spaces"

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Lin, Shou, and Ziqiu Yun. Generalized Metric Spaces and Mappings. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-216-8.

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Karapinar, Erdal, and Ravi P. Agarwal. Fixed Point Theory in Generalized Metric Spaces. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-14969-6.

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Abate, Marco. Finsler metrics-- a global approach: With applications to geometric function theory. Springer-Verlag, 1994.

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Lin, Shou, and Ziqiu Yun. Generalized Metric Spaces and Mappings. Atlantis Press (Zeger Karssen), 2016.

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Karapinar, Erdal, and Ravi P. Agarwal. Fixed Point Theory in Generalized Metric Spaces. Springer International Publishing AG, 2022.

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Fixed Point Theory in Generalized Metric Spaces. Springer International Publishing AG, 2023.

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Fundamentals of Signal Processing in Generalized Metric Spaces. CRC Press LLC, 2022.

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Busemann, Herbert. Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8). Princeton University Press, 2016.

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Popoff, Andrey. Fundamentals of Signal Processing in Generalized Metric Spaces: Algorithms and Applications. Taylor & Francis Group, 2022.

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Popoff, Andrey. Fundamentals of Signal Processing in Generalized Metric Spaces: Algorithms and Applications. Taylor & Francis Group, 2022.

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Book chapters on the topic "Generalized Metric Spaces"

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Kirk, William, and Naseer Shahzad. "Generalized Metric Spaces." In Fixed Point Theory in Distance Spaces. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10927-5_13.

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Lin, Shou, and Ziqiu Yun. "Generalized Metric Spaces." In Atlantis Studies in Mathematics. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-216-8_3.

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Lin, Shou, and Ziqiu Yun. "The Origin of Generalized Metric Spaces." In Atlantis Studies in Mathematics. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-216-8_1.

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Manav, N. "Fixed-Point Theorems in Generalized Modular Metric Spaces." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_5.

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Laal Shateri, Tayebe, and Ozgur Ege. "Modular Spaces and Fixed Points of Generalized Contractions." In Metric Fixed Point Theory. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-4896-0_4.

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Kąkol, Jerzy, Wiesław Kubiś, Manuel López-Pellicer, and Damian Sobota. "Generalized Metric Spaces with $$\mathfrak {G}$$-Bases." In Developments in Mathematics. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-76062-4_18.

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Paunović, Marija V., Samira Hadi Bonab, and Vahid Parvaneh. "Weak-Wardowski Contractions in Generalized Triple-Controlled Modular Metric Spaces and Generalized Triple-Controlled Fuzzy Metric Spaces." In Soft Computing. CRC Press, 2023. http://dx.doi.org/10.1201/9781003312017-4.

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Moltó, Aníbal, José Orihuela, Stanimir Troyanski, and Manuel Valdivia. "Generalized Metric Spaces and Locally Uniformly Rotund Renormings." In A Nonlinear Transfer Technique for Renorming. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85031-1_3.

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Aydi, Hassen, and Stefan Czerwik. "Fixed Point Theorems in Generalized b-Metric Spaces." In Springer Optimization and Its Applications. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74325-7_1.

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Konwar, Nabanita. "Results on Generalized Tripled Fuzzy b-Metric Spaces." In Forum for Interdisciplinary Mathematics. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-0668-8_8.

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Conference papers on the topic "Generalized Metric Spaces"

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Bechhoefer, Eric, and Rune Schlanbusch. "Generalized Prognostic Algorithm Implementing Kalman Smoother." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10195.

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The ability to prognosticate the future state of a mechanical component can greatly improve the ability of a helicopter operator to manage their assets. Fundamentally, prognostics can change the logistics support of a helicopter by: reducing spares, improving the likelihood of a deployment meeting its mission requirements, and reducing unscheduled maintenance events. A successful prognosis is based on applying a fault model and usage metrics (torque) to a diagnostic. This paper addresses a generalized fault and usage model through simplification of Paris' Law and the use of a Kalman Smoother.
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Goleţ, Ioan, Ciprian Hedrea, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "On Generalized Contractions in Probabilistic Metric Spaces." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636943.

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Tang, Yongye, and Yongfu Su. "New Generalized Contractions in Complete Cone Metric Spaces." In 2011 International Symposium on Computer Science and Society (ISCCS). IEEE, 2011. http://dx.doi.org/10.1109/isccs.2011.83.

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Li, Xiaofan, Yachao Zhang, Shiran Bian, et al. "VS-Boost: Boosting Visual-Semantic Association for Generalized Zero-Shot Learning." In Thirty-Second International Joint Conference on Artificial Intelligence {IJCAI-23}. International Joint Conferences on Artificial Intelligence Organization, 2023. http://dx.doi.org/10.24963/ijcai.2023/123.

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Unlike conventional zero-shot learning (CZSL) which only focuses on the recognition of unseen classes by using the classifier trained on seen classes and semantic embeddings, generalized zero-shot learning (GZSL) aims at recognizing both the seen and unseen classes, so it is more challenging due to the extreme training imbalance. Recently, some feature generation methods introduce metric learning to enhance the discriminability of visual features. Although these methods achieve good results, they focus only on metric learning in the visual feature space to enhance features and ignore the assoc
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Łenski, Włodzimierz, and Bogdan Szal. "On the approximation of functions by matrix means in the generalized Hölder metric." In Function Spaces VIII. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc79-0-9.

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Pistone, Paolo. "On Generalized Metric Spaces for the Simply Typed Lambda-Calculus." In 2021 36th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS). IEEE, 2021. http://dx.doi.org/10.1109/lics52264.2021.9470696.

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Dahiya, Anita, Asha Rani, and Manoj Kumar. "Fixed points for cyclic µ-expansions in generalized metric spaces." In RECENT ADVANCES IN FUNDAMENTAL AND APPLIED SCIENCES: RAFAS2016. Author(s), 2017. http://dx.doi.org/10.1063/1.4990341.

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Fadail, Zaid Mohammed, and Abd Ghafur Bin Ahmad. "Fixed point results of T-Kannan contraction on generalized distance in cone metric spaces." In PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4882558.

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Kosal, Isil Arda, and Mahpeyker Ozturk. "Best proximity points for elliptic generalized geraghty contraction mappings in elliptic valued metric spaces." In 7TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2018). Author(s), 2018. http://dx.doi.org/10.1063/1.5078470.

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Ramadana, Yusuf, and Hendra Gunawan. "Boundedness of sublinear operator generated by Calderón-Zygmund operator on generalized weighted Morrey spaces over quasi-metric measure spaces." In INTERNATIONAL CONFERENCE ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS 2022 (IConMAA 2022): Analysis, Uncertainty, and Optimization. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0191768.

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Reports on the topic "Generalized Metric Spaces"

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Lynch, James F. A Higgs Universe and the flow of time. Woods Hole Oceanographic Institution, 2024. http://dx.doi.org/10.1575/1912/69338.

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Theoretically considering velocities greater than c implies considering an observer’s past and extends the overall analysis into the complex plane. By using a series of rotations by i in the complex plane, one can create a four-lobed structure of “instants of time,” which together with considering matter and antimatter in the lobes and the +/- sense of the rotation, leads to a Higgs field representation of space and time. A 10x10 metric is developed for this system as well as a generalized spacetime interval. It is also shown that the Friedmann Equations are consistent with our “Higgs Cosmolog
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