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

In this paper, we study the new class of an asymptotic proximal pointwise weaker Meir–Keeler-type ψ-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.

Bibliographic Details
Main Authors: Chirasak Mongkolkeha, Poom Kumam
Format: Article
Language:English
Published: SpringerOpen 2013-07-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X12000788
Description
Summary:In this paper, we study the new class of an asymptotic proximal pointwise weaker Meir–Keeler-type ψ-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.
ISSN:1110-256X