Abstract
Common coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings S:XxX -> X and g:X -> X in a b(v)(s)-metric space, which generalize, extend, and improve some recent results on coupled fixed points. As an application, we prove an existence and uniqueness theorem for the solution of a system of nonlinear integral equations under some weaker conditions and given a convergence criteria for the unique solution, which has been properly verified by using suitable example.