A New Best Approximation Result in (S) Convex Metric Spaces

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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Veröffentlicht in:International journal of mathematics and mathematical sciences 2020, Vol.2020 (2020), p.1-10
Hauptverfasser: Sabar, T., Bassou, A., Mouline, J., Sabiri, M.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Mapping
Metric space
Traveling salesman problem
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Zusammenfassung: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/2020/4367482