Application and theorems of common fixed points in intuitionistic Menger space under CLR property

Abstract

In this work, we prove some common fixed point theorems for weakly compatible mappings in intuitionistic Menger space using the notion of the common limit range property (CLR property). Our results extend and generalize fixed point theorems on metric spaces, Menger metric spaces. we establish our result by proving the existence and uniqueness of a common solution of Fredhom integral equations. Illustrative examples are also furnished to support our aim results.