Coupled Fixed Points Theorem for Mappings Satisfying a Contractive Condition of Integral Type in Cauchy Spaces

Abstract

The contractive-type coupled fixed point theory is a generalization of Banach contraction theory. This research analyze the existence and uniqueness of mappings defined on Cauchy metric spaces via coupled fixed point theorem which satisfies a contractive inequality of integral-type. Furthermore, it generalizes contractive inequality of integral-type of fixed point to coupled fixed point theorem as an improvement to available research in literature. Some illustrative examples to back up our claims are included.