On Some Coupled Fixed Points of Generalized T-Contraction Mappings in a <i>b_v</i>(<i>s</i>)-Metric Space and Its Application

Abstract

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 bv(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.

Keywords

• common coupled fixed point
• <i>b_v</i>(<i>s</i>)-metric space
• T-contraction
• weakly compatible mapping