On Some Novel Fixed Point Results for Generalized F-Contractions in b-Metric-Like Spaces with Application

Abstract

The focus of our work is on the most recent results in fixed point theory related to contractive mappings.We describe variants of (s, q, φ, F)-contractions that expand, supplement and unify an important work widely discussed in the literature, based on existing classes of interpolative and F-contractions. In particular, a large class of contractions in terms of s, q, φ and F for both linear and nonlinear contractions are defined in the framework of b-metric-like spaces. The main result in our paper is that (s, q, φ, F)-g-weak contractions have a fixed point in b-metric-like spaces if function F or the specified contraction is continuous. As an application of our results, we have shown the existence and uniqueness of solutions of some classes of nonlinear integral equations.