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Noncyclic Meir-Keeler contractions and best proximity pair theorems

机译:Noncyclic Meir-Keeler contractions and best proximity pair theorems

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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.

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