SOME BEST PROXIMITY POINT RESULTS OF SEVERAL α-ψ INTERPOLATIVE PROXIMAL CONTRACTIONS

Abstract

In this paper, we introduce several types α-ψ interpolative proximal contractions and provide some sfficient conditions to prove the existence of best proximity points for these contractions in metric spaces. In the case of proximal contraction of the first kind, these metric spaces are not necessarily complete. Meanwhile, some new results can derive from our results. Finally, some examples are provided to show the validity of our results.