remarks on the paper: 'best proximity point theorems for some classes of contractions'

In this article, we examine best proximity point theorems in spaces where the pair (a; b) is either a proximally complete space or a fairly complete space. these spaces do not necessarily need to be complete or possess the uc property. this work generalizes and improves some of the theorems presented in the paper by sadiq basha best proximity point theorems for some classes of contractions, acta mathematica hungarica, 156, 2018, 336{360]. motivated by the results of sadiq basha concerning k-proximal and c-proximal contractions of the first kind, we introduce and study the concept of a kc-proximal #-contraction of the first kind.