1. Coupled best proximity point theorem in metric Spaces.
- Author
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Sintunavarat, Wutiphol and Kumam, Poom
- Subjects
- *
METRIC spaces , *FIXED point theory , *PROXIMITY spaces , *CONTRACTIONS (Topology) , *BANACH spaces , *STOCHASTIC convergence , *CONVEX sets , *MATHEMATICAL analysis - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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