Pata contractions and coupled type fixed points
Delavar, Mohsen Rostamian
De la Sen Parte, Manuel
Kim, Gwang Hui
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Fixed Point Theory and Applications 2014 : (2014) // Article ID 130
A new coupled fixed point theorem related to the Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is established. It is shown that the coupled fixed point can be unique under some extra suitable conditions involving mid point lower or upper bound properties. Also the corresponding convergence rate is estimated when the iterates of our function converge to its coupled fixed point.