Some notes on the paper “On best proximity points of interpolative proximal contractions"

Abstract

In a recent paper [I. Altun and A. Tasdemir, On best proximity points of interpolative proximal contractions, Quaestiones Math. (2020), DOI: 10.2989/16073606.2020.1785576] the authors proved two best proximity point theorems for a new class of non-self mappings, called interpolative Reich-  Rus-Ciric type proximal contractions of the rst and second kinds. Our purpose is to show that their results follow from a xed point theorem for  interpolative Reich-Rus-Ciric type contraction mappings [E. Karapinar, R. Agarwal and H. Aydi, Interpolative Reich-Rus-Ciric contractions on partial metric  spaces, Mathematics 6 (2018), 7 pages].