Common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces

Abstract

In this paper, we introduce the notion of a cyclic (ψ, A, B)-contraction for the pair (f , T) of self-mappings on the set X . We utilize our definition to introduce some common fixed point theorems for the two mappings f and T under a set of conditions. Also, we introduce an example to support the validity of our results. As application of our results, we derive some common fixed point theorems of integral type. MSC: Primary 54H25; secondary 47H10. © 2013 Shatanawi and Postolache; licensee Springer.