A New Best Approximation Result in (S) Convex Metric Spaces
Consider a self-mapping T defined on the union of p subsets of a metric space, and T is said to be p cyclic if TAi⊆Ai+1 for i=1,…,p with Ap+1=A1. In this article, we introduce the notion of S convex structure, and we acquire a best proximity point for p cyclic contraction in S convex metric spaces....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2020/4367482 |
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| _version_ | 1850105381441765376 |
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| author | M. Sabiri J. Mouline A. Bassou T. Sabar |
| author_facet | M. Sabiri J. Mouline A. Bassou T. Sabar |
| author_sort | M. Sabiri |
| collection | DOAJ |
| description | Consider a self-mapping T defined on the union of p subsets of a metric space, and T is said to be p cyclic if TAi⊆Ai+1 for i=1,…,p with Ap+1=A1. In this article, we introduce the notion of S convex structure, and we acquire a best proximity point for p cyclic contraction in S convex metric spaces. |
| format | Article |
| id | doaj-art-3b69cb9bbfe7492690e4eedec9165d6e |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3b69cb9bbfe7492690e4eedec9165d6e2025-08-20T02:39:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252020-01-01202010.1155/2020/43674824367482A New Best Approximation Result in (S) Convex Metric SpacesM. Sabiri0J. Mouline1A. Bassou2T. Sabar3Laboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B. 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B. 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B. 7955, Sidi Othman, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B. 7955, Sidi Othman, Casablanca, MoroccoConsider a self-mapping T defined on the union of p subsets of a metric space, and T is said to be p cyclic if TAi⊆Ai+1 for i=1,…,p with Ap+1=A1. In this article, we introduce the notion of S convex structure, and we acquire a best proximity point for p cyclic contraction in S convex metric spaces.http://dx.doi.org/10.1155/2020/4367482 |
| spellingShingle | M. Sabiri J. Mouline A. Bassou T. Sabar A New Best Approximation Result in (S) Convex Metric Spaces International Journal of Mathematics and Mathematical Sciences |
| title | A New Best Approximation Result in (S) Convex Metric Spaces |
| title_full | A New Best Approximation Result in (S) Convex Metric Spaces |
| title_fullStr | A New Best Approximation Result in (S) Convex Metric Spaces |
| title_full_unstemmed | A New Best Approximation Result in (S) Convex Metric Spaces |
| title_short | A New Best Approximation Result in (S) Convex Metric Spaces |
| title_sort | new best approximation result in s convex metric spaces |
| url | http://dx.doi.org/10.1155/2020/4367482 |
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