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Relevant bibliographies by topics / Multiplicative proximal contraction of first and second kind

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Academic literature on the topic 'Multiplicative proximal contraction of first and second kind'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Multiplicative proximal contraction of first and second kind"

1

Lavino, P. Joselin, та A. Mary Priya Dharsini. "Best Proximity Point Theorems on 𝑏 − ¿ Multiplicative Metric Spaces". Indian Journal Of Science And Technology 18, № 13 (2025): 1029–37. https://doi.org/10.17485/ijst/v18i13.168.

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Objectives: To introduce 𝑏 - multiplicative metric spaces and cyclic multiplicative rational contractions within the framework of best proximity point theorems. Methods: We define 𝑏 - multiplicative metric spaces and prove best proximity point theorems for multiplicative proximal contractions, including the first and second kind, cyclic multiplicative rational contraction which extend banach’s contraction principle to non-self mappings. Findings: In 𝑏 - multiplicative metric spaces, the research proved the existence and uniqueness of the best proximity points for multiplicative proximal contra

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2

P, Joselin Lavino, and Mary Priya Dharsini A. "Best Proximity Point Theorems on b − Multiplicative Metric Spaces." Indian Journal of Science and Technology 18, no. 13 (2025): 1029–37. https://doi.org/10.17485/IJST/v18i13.168.

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Abstract <strong>Objectives:</strong> To introduce <em>b</em> - multiplicative metric spaces and cyclic multiplicative rational contractions within the framework of best proximity point theorems. <strong>Methods:</strong> We define <em>b</em> - multiplicative metric spaces and prove best proximity point theorems for multiplicative proximal contractions, including the first and second kind, cyclic multiplicative rational contraction which extend banach's contraction principle to non-self mappings. <strong>Findings:</strong> In <em>b</e

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3

Som, Sumit, Moosa Gabeleh, and Manuel De la Sen. "Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions." Axioms 11, no. 9 (2022): 468. http://dx.doi.org/10.3390/axioms11090468.

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In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions of Geraghty type. Additionally, in the year 2021, Beg et al. introduced the concept of generalized F-proximal contraction of the first kind and generalized F-proximal contraction of the second kind, respectively. After developing these concepts, authors mainly studied the best proximity points for these classes of mappings. In this short note, we prove that the problem of the existence of the best proximity points for the said classes of proximal contractions is equivalent to the corresponding fixed point

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4

Saleem, Naeem, Mujahid Abbas, and Manuel Sen. "Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces." Mathematics 7, no. 4 (2019): 327. http://dx.doi.org/10.3390/math7040327.

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The purpose of this paper is to introduce α f -proximal H -contraction of the first and second kind in the setup of complete fuzzy metric space and to obtain optimal coincidence point results. The obtained results unify, extend and generalize various comparable results in the literature. We also present some examples to support the results obtained herein.

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5

Goswami, Nilakshi, and Raju Roy. "Best proximity point results for generalized proximal $Z$-contraction mappings in metric spaces and some applications." Boletim da Sociedade Paranaense de Matemática 42 (May 8, 2024): 1–14. http://dx.doi.org/10.5269/bspm.64145.

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In this paper, we define generalized proximal Z-contraction mappings of first and second kind in a metric space (X, d). The existence of best proximity point is shown for the defined mappings under some specific conditions which generalizes and extends some existing results of Olgun et al. [23] and Abbas et al. [1]. Suitable examples are given to justify the derived results. Some applications are also shown via fixed point formulation for such mappings in variational inequality problem and homotopy result.

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6

Klanarong, Chalongchai, and Inthira Chaiya. "Coincidence best proximity point theorems for proximal Berinde g-cyclic contractions in metric spaces." Journal of Inequalities and Applications 2021, no. 1 (2021). http://dx.doi.org/10.1186/s13660-021-02547-5.

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AbstractIn this paper, we introduce the notions of proximal Berinde g-cyclic contractions of two non-self-mappings and proximal Berinde g-contractions, called proximal Berinde g-cyclic contraction of the first and second kind. Coincidence best proximity point theorems for these types of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our main results extend and generalize many existing results in the literature.

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