Abstract
T. G. Bhaskar and V. Lakshmikantham [Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (2006) 1379-1393], V. Lakshmikantham and Lj. B. Ciric [Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70 (2009) 4341-4349] introduced the concept of a coupled coincidence point of a mapping F from X x X into X and a mapping g from X into X. In this paper we prove a coupled coincidence fixed point theorem in the setting of a generalized b-metric space. Three examples are presented to verify the effectiveness and applicability of our main result.