UNIFIED COMPLEX COMMON FIXED POINT RESULTS VIA CONTRACTIVE CONDITIONS OF INTEGRAL TYPE WITH AN APPLICATION

Abstract

The aim of this paper is to prove some unified common fixed point theorems under contractive conditions of integral type for two pairs of weakly compatible mappings satisfying the property (E.A) in complex valued symmetric spaces using an implicit relation. Some illustrative examples are also given which substantiate the usefulness of our utilized implicit relation. Our results generalize and improve some of the existing results in the literature and at the same time deduce new contractions of integral type in the context of complex fixed point theory. We apply one of our results to examine the existence and uniqueness of common solution for a system of Volterra-Hammerstein integral equations.