Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces
We study G,D-proximal Geraghty contractions in a JS-metric space X endowed with graph G. We obtain some best proximity theorems for such contractions. An example and several consequences are given. As a consequence of our results, we also provide the best proximity point results in X endowed with a...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5681253 |
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| _version_ | 1832561174202286080 |
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| author | Phakdi Charoensawan Tanadon Chaobankoh |
| author_facet | Phakdi Charoensawan Tanadon Chaobankoh |
| author_sort | Phakdi Charoensawan |
| collection | DOAJ |
| description | We study G,D-proximal Geraghty contractions in a JS-metric space X endowed with graph G. We obtain some best proximity theorems for such contractions. An example and several consequences are given. As a consequence of our results, we also provide the best proximity point results in X endowed with a binary relation. |
| format | Article |
| id | doaj-art-bfdfc082b705425bb2aef510875e1dcd |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bfdfc082b705425bb2aef510875e1dcd2025-02-03T01:25:47ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/56812535681253Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric SpacesPhakdi Charoensawan0Tanadon Chaobankoh1Advanced Research Center for Computational Simulation, Faculty of Science, Chiang Mai University, 50200 Chiang Mai, ThailandAdvanced Research Center for Computational Simulation, Faculty of Science, Chiang Mai University, 50200 Chiang Mai, ThailandWe study G,D-proximal Geraghty contractions in a JS-metric space X endowed with graph G. We obtain some best proximity theorems for such contractions. An example and several consequences are given. As a consequence of our results, we also provide the best proximity point results in X endowed with a binary relation.http://dx.doi.org/10.1155/2020/5681253 |
| spellingShingle | Phakdi Charoensawan Tanadon Chaobankoh Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces Journal of Function Spaces |
| title | Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces |
| title_full | Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces |
| title_fullStr | Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces |
| title_full_unstemmed | Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces |
| title_short | Best Proximity Point Theorems for G,D-Proximal Geraghty Maps in JS-Metric Spaces |
| title_sort | best proximity point theorems for g d proximal geraghty maps in js metric spaces |
| url | http://dx.doi.org/10.1155/2020/5681253 |
| work_keys_str_mv | AT phakdicharoensawan bestproximitypointtheoremsforgdproximalgeraghtymapsinjsmetricspaces AT tanadonchaobankoh bestproximitypointtheoremsforgdproximalgeraghtymapsinjsmetricspaces |