Common Fixed Point Results for a Pair of Generalized Nonlinear Mappings in Complete Metric Spaces

Abstract

In this paper, under the asymptotically regular condition, we investigate the existence of a unique common fixed point for a pair of generalized nonlinear mappings in the framework of complete metric spaces. Additionally, we extend our analysis to the case involving two control functions. Our work generalizes some results in recent papers.

Keywords

A pair of generalized nonlinear mappings / Asymptotically regular / Control functions / Metric spaces