On some coupled fixed points of generalized t-contraction mappings in a b_v(S)-metric space and its application

Common coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings S: X × X → 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.