Coupled common fixed point theorems for mixed weakly monotone mappings in partially ordered metric spaces
1 Department of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran
2 Department of Mathematics Education and the RINS Gyeongsang National University Chinju 660-701, Korea
Fixed Point Theory and Applications 2012, 2012:95 doi:10.1186/1687-1812-2012-95Published: 12 June 2012
In this paper, we introduce the concept of a mixed weakly monotone pair of mappings and prove some coupled common fixed point theorems for a contractive-type mappings with the mixed weakly monotone property in partially ordered metric spaces. Our results are generalizations of the main results of Bhaskar and Lakshmikantham and Kadelburg et al.
Mathematics Subject Classification 2000: 54H25.