Best proximity point results for modified Suzuki α-Ψ-proximal contractions

Abstract

In this paper, we introduce a modified Suzuki á-ø-proximal contraction. Then we establish certain best proximity point theorems for such proximal contractions in metric spaces. As an application, we deduce best proximity and fixed point results in partially ordered metric spaces. The results presented generalize and improve various known results from best proximity and fixed point theory. Moreover, some examples are given to illustrate the usability of the obtained results. © 2014 Hussain et al.; licensee Springer.