Common fixed point theorems for generalized f-Geraghty type contraction in partial b-metric-like spaces

Abstract

In this paper, we introduce the notion of a pair of new generalized F-Geraghty type contraction mappings and establish some new common fixed point theorems for such contraction in complete partial b-metric-like spaces. Examples are included to illustrate that our results are proper generalizations of previous results. We also discuss an application to the existence of solution for a nonlinear integral equation.