Unified implicit common fixed point theorems under non-negative complex valued functions satisfying the identity of indiscernible

Abstract

In this paper, we consider a non-negative complex valued function satisfying the identity of indiscernible and utilize the same to prove some common fixed point theorems for two pairs of non-vacuously weakly compatible mappings satisfying an implicit relation having rational terms as its co-ordinates. Some illustrative examples are also given which demonstrate the validity of the hypotheses of our results. In process, a host of previously known results in the context of complex as well as real valued metric spaces are generalized and improved.