Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces
1 College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People's Republic of China
2 Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
Fixed Point Theory and Applications 2012, 2012:96 doi:10.1186/1687-1812-2012-96Published: 12 June 2012
This paper is concerned with mixed g-monotone mappings in partially ordered metric spaces. We establish several coupled coincidence and coupled common fixed point theorems, which generalize and complement some known results. Especially, our main results complement some recent results due to Lakshmikantham and Ćirić. Two examples are given to illustrate the usability of our results.
Mathematics Subject Classification(2010): 47H10, 54H25.