Solving Integral Equations Using Weakly Compatible Mappings via D*-Metric Spaces

Abstract

We introduce a new pair of mappings (S, T) on D∗-metric spaces called DS∗-W.C. and DR∗S-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain several common fixed point results by using these types of mappings and the (E.A) property. We then employ the fixed point results to establish the existence and uniqueness of a solution for a class of nonlinear integral equations.