New generalization of the best proximity point problem
Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup D\to C\cup D$. In fact, we give a generalization of best proximity point res...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-05-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3610_e49bfc953024073b11c5f911c16852f1.pdf |
| _version_ | 1797799209813934080 |
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| author | M.R. Haddadi |
| author_facet | M.R. Haddadi |
| author_sort | M.R. Haddadi |
| collection | DOAJ |
| description | Let $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup D\to C\cup D$. In fact, we give a generalization of best proximity point results for cyclic contractive mappings. To this end, we consider an example is presented to support the main result. |
| first_indexed | 2024-03-13T04:16:30Z |
| format | Article |
| id | doaj.art-44ab946667bc4c76b9c6fc3827d6b9af |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-13T04:16:30Z |
| publishDate | 2023-05-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-44ab946667bc4c76b9c6fc3827d6b9af2023-06-21T03:19:53ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-05-0112247147910.22103/jmmr.2023.20124.13263610New generalization of the best proximity point problemM.R. Haddadi0Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, IranLet $(C,D)$ be a nonempty pair of disjoint subsets of a metric space. Main purpose of this paper is to present a range of a convergence sequence to $u\in C\cup D$ such that $d(Tu,fu)=dist(C,D)$, for mappings $T,f:C\cup D\to C\cup D$. In fact, we give a generalization of best proximity point results for cyclic contractive mappings. To this end, we consider an example is presented to support the main result. https://jmmrc.uk.ac.ir/article_3610_e49bfc953024073b11c5f911c16852f1.pdfcommon best proximity pointcoincidence pointmetric spacefixed point |
| spellingShingle | M.R. Haddadi New generalization of the best proximity point problem Journal of Mahani Mathematical Research common best proximity point coincidence point metric space fixed point |
| title | New generalization of the best proximity point problem |
| title_full | New generalization of the best proximity point problem |
| title_fullStr | New generalization of the best proximity point problem |
| title_full_unstemmed | New generalization of the best proximity point problem |
| title_short | New generalization of the best proximity point problem |
| title_sort | new generalization of the best proximity point problem |
| topic | common best proximity point coincidence point metric space fixed point |
| url | https://jmmrc.uk.ac.ir/article_3610_e49bfc953024073b11c5f911c16852f1.pdf |
| work_keys_str_mv | AT mrhaddadi newgeneralizationofthebestproximitypointproblem |