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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2020-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2020/9620254 |
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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 |
work_keys_str_mv |
AT anchaleekhemphet commonbestproximitycoincidencepointtheoremfordominatingproximalgeneralizedgeraghtyincompletemetricspaces AT pharunyouchanthorn commonbestproximitycoincidencepointtheoremfordominatingproximalgeneralizedgeraghtyincompletemetricspaces AT narawadeephudolsitthiphat commonbestproximitycoincidencepointtheoremfordominatingproximalgeneralizedgeraghtyincompletemetricspaces |
_version_ |
1715176824558845952 |