Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type w-contraction mappings

Document Type : Original Article

Authors

Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bang Mod, Thrung Khru, Bangkok 10140, Thailand

http://dx.doi.org/10.1016/j.joems.2012.12.002

Abstract

In this paper, we study the new class of an asymptotic proximal pointwise weaker Meir–
Keeler-type w-contraction and prove the existence of solutions for the minimization problem in a
uniformly convex Banach space. Also, we give some an example for support our main result.

Keywords