Coupled best proximity point theorem in metric Spaces

By Wutiphol Sintunavarat, Poom Kumam. 2012

83 citations recorded by the source corpus.

In this article the concept of coupled best proximity point and cyclic contraction pair are introduced and then we study the existence and convergence of these points in metric spaces. We also establish new results on the existence and convergence in a uniformly convex Banach spaces. Furthermore, we give new results of coupled fixed points in metric spaces and give some illustrative examples. An open problems are also given at the end for further investigation.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/caf4483d3c2f4978c9b8eebb328f873e99f5d974