Fixed point theorem for mixed monotone nearly asymptotically nonexpansive mappings and applications to integral equations

Abstract

This work concerns the existence of a fixed point for mixed monotone nearly asymptotically nonexpansive mappings. We extend and generalize some well-known results concerning nearly asymptotically nonexpansive mappings in a uniformly convex hyperbolic metric space. As application of our results, we study the existence of solutions for an integral equation.