Existence of Nonlinear Problems: An Applicative and Computational Approach

Abstract

In this paper, we initiate the variants of (F, Ψ)-rational type contractions and prove some fixed point results for such mappings in a complete metric space endowed with partial order. Some examples are given to illustrate the usability of the established concept. Application to integral equation is given to highlight the usability of the obtained results. We explain an illustrative example with computer simulation to validate the application of our result to integral equation, which includes some surfaces demonstrating the justification of approximate solution of the integral equation along with error function. With this execution, we provide an access to the theory of fixed point with some relevant and innovative applications.