Existence and uniqueness of best proximity points for generalized almost contractions

Abstract

The purpose of this paper is to elicit some interesting extensions of generalized almost contraction mappings to the case of non-self-mappings with α -proximal admissible and prove best proximity point theorems for this classes. Moreover, we also give some examples and applications to support our main results. © 2014 Chirasak Mongkolkeha et al.