COUPLED FIXED POINT THEOREMS IN S_b-METRIC SPACES

Abstract

Bhaskar and Lakshmikantham [1], Lakshmikantham and Ciric [3] introduced the concept of a coupled coincidence point of a mapping F from X × X into X and a mapping g from X into X. In this paper, we introduce S_b-metric spaces and give some of their properties. Also we prove a coupled coincidence fixed point theorem in S_b-metric spaces. Using a similar method as in [2] coupled fixed point theorems in G_b-metric spaces is obtained in S_b-metric spaces. One example is presented to verify the effectiveness and applicability of our main result.