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:	M. Sabiri, J. Mouline, A. Bassou, T. Sabar
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Online Access:	http://dx.doi.org/10.1155/2020/4367482

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spelling	doaj-3b69cb9bbfe7492690e4eedec9165d6e2020-11-25T02:58:39ZengHindawi LimitedInternational 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. Sabiri J. Mouline A. Bassou T. Sabar
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
author_facet	M. Sabiri J. Mouline A. Bassou T. Sabar
author_sort	M. Sabiri
title	A New Best Approximation Result in (S) Convex Metric Spaces
title_short	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_sort	new best approximation result in (s) convex metric spaces
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2020-01-01
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.
url	http://dx.doi.org/10.1155/2020/4367482
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A New Best Approximation Result in (S) Convex Metric Spaces

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