Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces-Reference-Cited by-同舟云学术

Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces

Published:2020-08-01 Issue: Volume:2020 Page:1-7
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khemphet Anchalee¹²^ORCID,Chanthorn Pharunyou¹²^ORCID,Phudolsitthiphat Narawadee¹²^ORCID

Affiliation:

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

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

Abstract

In this paper, we introduce a new concept of dominating proximal generalized Geraghty for two mappings and prove the existence and uniqueness of a common best proximity coincidence point in complete metric spaces. And also, we give an example for the main theorems. The main theorem is a generalization and improvement of some well-known theorems.

Funder

Chiang Mai University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/9620254.pdf

Reference29 articles.

1. Extensions of two fixed point theorems of F. E. Browder

2. Approximate selections, best approximations, fixed points, and invariant sets

3. Best Proximity Pair Theorems for Multifunctions with Open Fibres