Coincidence points via tri-simulation functions with an application in integral equations

Abstract The main aim of this article is to introduce the concept of generalized ( α, T )-contractive mappings in partial b -metric spaces involving a tri-simulation function T and obtain some new coincidence points and common fixed point results for a pair of self mappings utilizing such contractive condition. Our findings extend and unify several important results in the existing literature and also bring some new results as consequences. As an application of this study, we provide a unique solution of an integral equation.