Coupled fixed point theorems in complex valued metric spaces

Abstract

Recently, Rahul Tiwari et. al. proved common fixed point theorem with six maps in complex valued metric spaces. In this paper we obtain a common fixed point theorem for six maps in complex valued metric spaces having commuting and weakly compatible and satisfying different type of inequality. Our theorem generalizes and extends the results of said researcher.

COMMON COUPLED FIXED POINTS FOR FOUR MAPS USING alpha-ADMISSIBLE FUNCTIONS IN COMPLEX VALUED b- METRIC SPACES

“…Recently some authors,for example [7,13,17,22,24,25,26], obtained coupled and common coupled fixed point point theorems for a pair of mappings in complex valued metric spaces.…”

Common Coupled Fixed Points for Four Maps Using Property(E.A.) in Complex Valued b- Metric Spaces

“…Azam et al [1] introduced the notion of a complex valued metric space which is a generalization of the classical metric space and obtained sufficent conditions for the existence of common fixed points of a pair of mappings satisfying a rational contractive condition.Later several authors proved fixed and common fixed point theorems in complex valued metric spaces ,for example, refer to [2,3,4,6,9,10,13,15,16,18,25]. Recently some authors,for example [5,12,14,19,21,22,23],obtained coupled and common coupled fixed point theorems for a pair of mappings in complex valued metric spaces.…”