Coincidence point theorems in s-metric spaces using integral type of contraction

Abstract

In the present paper, we consider a coupled coincidence point results in partially ordered S-metric spaces using integral type of contraction as well as the mixed monotone property of the mappings. We also generalize the famous Branciari fixed point theorem [A. Branicari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int. J. Math. Sci. 29 (9), 531-536, (2002)] from the metric spaces to the framework of partially ordered S-metric spaces.