Some coincidence best proximity point results in S-metric spaces

Abstract

In this paper, we introduce the notions of S-proximal Berinde g-cyclic contraction of two nonself mappings and S-proximal Berinde g-contractions of the first kind and second kind in an S-metric space and prove some coincidence best proximity point theorems for these types of nonself mappings in this space. Also, we give two examples to analyze and support our main results. The results presented here generalize some results in the existing literature.