AN EXTENDED COUPLED COINCIDENCE POINT THEOREM AND RELATED RESULTS

Abstract

In this paper, we give an extended coupled coincidence point theorem for a mixed g -monotone mapping F: X -> X satisfying a weaker contractive condition. As a result of this theorem, we introduce an extended coupled fixed point theorem. We also explain that there exist a relationship between Theorem 2.1 which is our main theorem and Theorem 1.3 introduced by Choudhury et. al. [Choudhury, BS, Kundu, A: Appl. Math. Lett. 25,6-10(2012)].