Fixed Point Results for Interpolative Ciric-Reich-Rus Type Contractions in Partially Ordered b-Metric Spaces with Applications to Nonlinear Fredholm Integral Equation

This paper establishes novel fixed point existence theorems for self-mappings satisfying an interpolative ?iri?-Reich-Rus type contraction within the framework of partially ordered b- metric spaces. To validate the theoretical result, an analytical example is provided. Furthermore, as an application of the proposed framework, the solvability of a class of nonlinear Fredholm integral equation is investigated.