Coupled fixed points for a class of contractions in partially ordered spaces and applications
We introduce the concept of a mixed g comparable mapping and prove the coupled coincidence and coincidence point theorems for a class of nonlinear contractive mappings in this paper. An application of our obtained results is given. The presented results extend and improve the recent results due to V. Lakshmikantham and Ljubomir Ciric [V. Lakshmikantham, Ljubomir Ciric, Coupled xed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. 70(2010) 4341-4349] and Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65(2006), 1379-1393].
coupled coincidence partially ordered set mixed g- comparable mapping