• COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACE USING IMPLICIT RELATION

  
  
  

Dr.Preeti Sengar

Abstract:
Banach contraction principle in gives appropriate and simple conditions to establish the existence and uniqueness of a solution of an operator equation 𝑇𝑥 = 𝑥. Later, a number of papers were devoted to the improvement and generalization of that result. Most of these results deal with the generalizations of the different contractive conditions in metric spaces. The aim of this paper is to prove the existence and uniqueness of a common fixed point for a pair of mappings satisfying occasionally weakly compatible maps in complex valued metric space using implicit relations.