Common Fixed Point Theorems Using Property (E.A) in Complex-Valued Metric Spaces

R. K. Verma, H. K. Pathak

Abstract

In this paper, we introduce the concept of property (E.A) in a complex-valued metric space to prove some common fixed point results for two pairs of weakly compatible mappings, satisfying a contractive condition of ‘max’ type. Further, we prove a common fixed point theorem for two pairs of selfmappings satisfying the common limit property in the range of a mapping called (CLR)-property by Sintunavarat and Kumam [Common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space, J. Appl. Math., Vol. 2011 (2011), Article ID 637958, 14 pages]. The related result generalizes various theorems of ordinary metric spaces.