Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
06 February 2020 |
21 February 2020 |
10 March 2020 |
Abstract: Consider a self mapping on the union of p-subsets of metric spaces. In this article we introduce the notion of (S) convex structure, and we acquire a best proximity point for p-cyclic contraction in (S) metric space. In 2003 Kirk. Srinivasan and veeramani proved convergence and existence result for fixed point that if a self mapping defined on the union of p- nonempty subsets of metric spaces. In 2005 Antony Eldred and veeramani introduced the existence of the best proximity point for the map in setting of uniformly convex Banach spaces. In 2017 T Sabar M. Aamri A. Bassou studied convergence and existence results of best proximity points for tricyclic contraction. In this work we introduce new results of best proximity points for a self mapping defined on the union of pnonempty subsets of (S) convex metric spaces.
