Condensing Mappings and Best Proximity Point Results
Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continu...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5542994 |
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| _version_ | 1832565975780687872 |
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| author | Sarah O. Alshehri Hamed H. Alsulami Naseer Shahzad |
| author_facet | Sarah O. Alshehri Hamed H. Alsulami Naseer Shahzad |
| author_sort | Sarah O. Alshehri |
| collection | DOAJ |
| description | Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continuity of T is a necessary condition that cannot be omitted. Some examples are given to support our results. |
| format | Article |
| id | doaj-art-1ef69e95066c4ba8bccdd28b36e447fd |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1ef69e95066c4ba8bccdd28b36e447fd2025-02-03T01:05:26ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55429945542994Condensing Mappings and Best Proximity Point ResultsSarah O. Alshehri0Hamed H. Alsulami1Naseer Shahzad2King Abdulaziz University, Department of Mathematics, P.O. Box 80203, Jeddah 2159, Saudi ArabiaKing Abdulaziz University, Department of Mathematics, P.O. Box 80203, Jeddah 2159, Saudi ArabiaKing Abdulaziz University, Department of Mathematics, P.O. Box 80203, Jeddah 2159, Saudi ArabiaBest proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continuity of T is a necessary condition that cannot be omitted. Some examples are given to support our results.http://dx.doi.org/10.1155/2021/5542994 |
| spellingShingle | Sarah O. Alshehri Hamed H. Alsulami Naseer Shahzad Condensing Mappings and Best Proximity Point Results Journal of Mathematics |
| title | Condensing Mappings and Best Proximity Point Results |
| title_full | Condensing Mappings and Best Proximity Point Results |
| title_fullStr | Condensing Mappings and Best Proximity Point Results |
| title_full_unstemmed | Condensing Mappings and Best Proximity Point Results |
| title_short | Condensing Mappings and Best Proximity Point Results |
| title_sort | condensing mappings and best proximity point results |
| url | http://dx.doi.org/10.1155/2021/5542994 |
| work_keys_str_mv | AT sarahoalshehri condensingmappingsandbestproximitypointresults AT hamedhalsulami condensingmappingsandbestproximitypointresults AT naseershahzad condensingmappingsandbestproximitypointresults |