Noncyclic Meir-Keeler contractions and best proximity pair theorems

Demonstratio mathematica

article

Moosa Gabeleh¹  Jack Markin¹ 

[1] Department of Mathematics, Ayatollah Boroujerdi University

关键词: best proximity pair;    CAT(0) space;    uniformly convex Banach space;    projection mapping;    noncyclic Meir-Keeler contraction;   

DOI  :  10.1515/dema-2018-0017

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces. We also discuss asymptotic pointwise noncyclic Meir-Keeler contractions in the framework of uniformly convex Banach spaces and generalize a main result of Chen [Chen C. M., A note on asymptotic pointwise weaker Meir-Keeler type contractions, Appl. Math. Lett., 2012, 25, 1267-1269]. Examples are given to support our main results.

【 授权许可】

CC BY