A New Best Approximation Result in (S) Convex Metric Spaces. (16th March 2020)

• Record Type: Journal Article
• Authors: Sabiri, M.; Mouline, J.; Bassou, A.; Sabar, T.
• Other Names: Chandok Sumit Academic Editor.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 2020(2020)
• Publication Date: 2020-03-16
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/2020/4367482
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : 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 T A i ⊆ A i + 1 for i = 1, …, p with A p + 1 = A 1 . 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.