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

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 generalizati...

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Main Authors: Anchalee Khemphet, Pharunyou Chanthorn, Narawadee Phudolsitthiphat
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/9620254
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spelling doaj-05a8f4258f314c14a425d4bb8075e3892020-11-25T03:34:25ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/96202549620254Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric SpacesAnchalee Khemphet0Pharunyou Chanthorn1Narawadee Phudolsitthiphat2Data Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandData Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandData Science Research Center, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandIn 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.http://dx.doi.org/10.1155/2020/9620254
collection DOAJ
language English
format Article
sources DOAJ
author Anchalee Khemphet
Pharunyou Chanthorn
Narawadee Phudolsitthiphat
spellingShingle Anchalee Khemphet
Pharunyou Chanthorn
Narawadee Phudolsitthiphat
Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces
Journal of Function Spaces
author_facet Anchalee Khemphet
Pharunyou Chanthorn
Narawadee Phudolsitthiphat
author_sort Anchalee Khemphet
title Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces
title_short Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces
title_full Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces
title_fullStr Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces
title_full_unstemmed Common Best Proximity Coincidence Point Theorem for Dominating Proximal Generalized Geraghty in Complete Metric Spaces
title_sort common best proximity coincidence point theorem for dominating proximal generalized geraghty in complete metric spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/9620254
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AT narawadeephudolsitthiphat commonbestproximitycoincidencepointtheoremfordominatingproximalgeneralizedgeraghtyincompletemetricspaces
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