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Relevant bibliographies by topics / Multiplicative proximal contraction

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Journal articles

Academic literature on the topic 'Multiplicative proximal contraction'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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Journal articles on the topic "Multiplicative proximal contraction"

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

Ishtiaq, Umar, Fahad Jahangeer, Doha A. Kattan, and Manuel De la Sen. "Generalized common best proximity point results in fuzzy multiplicative metric spaces." AIMS Mathematics 8, no. 11 (2023): 25454–76. http://dx.doi.org/10.3934/math.20231299.

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<abstract><p>In this manuscript, we prove the existence and uniqueness of a common best proximity point for a pair of non-self mappings satisfying the iterative mappings in a complete fuzzy multiplicative metric space. We consider the pair of non-self mappings $ X:\mathcal{P}\rightarrow \mathcal{G} $ and $ Z:\mathcal{P }\rightarrow \mathcal{G} $ and the mappings do not necessarily have a common fixed-point. In a complete fuzzy multiplicative metric space, if $ \mathcal{\varphi } $ satisfy the condition $ \mathcal{\varphi } \left(b, Zb, \varsigma \right) = \mathcal{\varphi }\left(\m

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4

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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5

Mongkolkeha, Chirasak, and Wutiphol Sintunavarat. "Best Proximity Points for Multiplicative Proximal Contraction Mapping on Multiplicative Metric Spaces." Journal of Nonlinear Sciences and Applications 08, no. 06 (2015): 1134–40. http://dx.doi.org/10.22436/jnsa.008.06.22.

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6

Mongkolkeha, Chirasak, та Wutiphol Sintunavarat. "Optimal Approximate Solution for $$\alpha $$ α -Multiplicative Proximal Contraction Mappings in Multiplicative Metric Spaces". Proceedings of the National Academy of Sciences, India Section A: Physical Sciences 86, № 1 (2015): 15–20. http://dx.doi.org/10.1007/s40010-015-0239-8.

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7

Johansson, Fredrik, and Lars B. Dahlin. "The Multiple Silicone Tube Device, “Tubes within a Tube,” for Multiplication in Nerve Reconstruction." BioMed Research International 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/689127.

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Multiple nerve branches were created during the regeneration procedure after a nerve injury and such multiple branches are suggested to be used to control, for example, prosthesis with many degrees of freedom. Transected rat sciatic nerve stumps were inserted into a nine mm long silicone tube, which contained four, five mm long, smaller tubes, thus leaving a five mm gap for regenerating nerve fibers. Six weeks later, several new nerve structures were formed not only in the four smaller tubes, but also in the spaces in-between. The 7–9 new continuous nerve structures, which were isolated as ind

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