RETRACTED: Coupled fixed point theorems without continuity and mixed monotone property (Retracted Article)

In this paper, we generalize some coupled fixed point theorems for the mixed monotone operators F : X x X -> X obtained in (Choudhury and Maity in Math. Comput. Model., 2011, doi:10.1016/j.mcm.2011.01.036) by significantly weakening the contractive condition involved and by replacing the mixed monotone property with another property which is automatically satisfied in the case of a totally ordered space. The proof follows a different and more natural new technique recently introduced by Berinde (Nonlinear Anal. 74:7347-7355, 2011). The example demonstrates that our main result is an actual improvement over the results which are generalized.