Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs
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 w...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5524494 |
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| _version_ | 1841524572414803968 |
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| author | Chaiporn Thangthong Phakdi Charoensawan Supreedee Dangskul Narawadee Phudolsitthiphat |
| author_facet | Chaiporn Thangthong Phakdi Charoensawan Supreedee Dangskul Narawadee Phudolsitthiphat |
| author_sort | Chaiporn Thangthong |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c0a23c3a28cb47ec94c3bae535f76d88 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c0a23c3a28cb47ec94c3bae535f76d882025-02-03T05:52:58ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55244945524494Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with GraphsChaiporn Thangthong0Phakdi Charoensawan1Supreedee Dangskul2Narawadee Phudolsitthiphat3Advanced Research Center for Computational Simulation, Chiang Mai University, Chiang Mai 50200, ThailandAdvanced Research Center for Computational Simulation, Chiang Mai University, Chiang Mai 50200, ThailandAdvanced Research Center for Computational Simulation, 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 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.http://dx.doi.org/10.1155/2021/5524494 |
| spellingShingle | Chaiporn Thangthong Phakdi Charoensawan Supreedee Dangskul Narawadee Phudolsitthiphat Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs Journal of Function Spaces |
| title | Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs |
| title_full | Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs |
| title_fullStr | Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs |
| title_full_unstemmed | Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs |
| title_short | Common Best Proximity Point Theorems in JS-Metric Spaces Endowed with Graphs |
| title_sort | common best proximity point theorems in js metric spaces endowed with graphs |
| url | http://dx.doi.org/10.1155/2021/5524494 |
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