Comments on the paper “Global Optimal Approximate Solutions of Best Proximity Points”

Abstract

In a recent paper ”Filomat, 35:5 (2021), 1555–1564” the authors proved some best proximity point theorems for classes of contractive pair of mappings as well as cyclic ψ-contractions under some sufficient conditions. In this article, we present some counterexamples of the existence results of contractive pair of mappings and present the corrected version of these results. We also show that the best proximity point theorem for cyclic ψ-contractions is a straightforward consequence of Boyd-Wong fixed point theorem by dropping an additional assumption.