Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs-Reference-Cited by-同舟云学术

Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs

Published:2021-05-11 Issue: Volume:2021 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Thangthong Chaiporn¹^ORCID,Charoensawan Phakdi¹^ORCID,Dangskul Supreedee¹^ORCID,Phudolsitthiphat Narawadee²³^ORCID

Affiliation:

1. Advanced Research Center for Computational Simulation, Chiang Mai University, Chiang Mai 50200, Thailand

2. Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

3. Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Abstract

In this paper, we introduce a notion of

G

-proximal edge preserving and dominating

G

-proximal Geraghty for a pair of mappings, which will be used to present some existence and uniqueness results for common best proximity points. Here, the mappings are defined on subsets of a JS-metric space endowed with a directed graph. An example is also provided to support the results. Moreover, we apply our result to a similar setting, where the JS-metric space is endowed with a binary relation.

Funder

Chiang Mai University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5524494.pdf

Reference33 articles.

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