A METHODOLOGY OF HYBRID FIXED POINT THEOREMS FOR SOLVING FREDHOLM-VOLTERRA INTEGRAL EQUATIONS

Abstract

This paper studies a new notion of Jaggi-type hybrid (θ-ϕ)-contraction and demonstrates its roles in proving fixed point theorems within the context of a generalized metric space. We prove, using comparative examples that under special instances, the ideas presented herein can be reduced to some known results in the existing literature. To show a possible application of our main contractive inequality, iterative methods are developed for addressing the existence of solutions to a class of mixed nonlinear fixed point problems involving Volterra-Fredholm integral equation.