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

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