COMMON FIXED POINTS RESULTS SATISFYING (ψ, φ)-WEAK CONTRACTION IN PARTIALLY ORDERED b-METRIC SPACES

Abstract

The primary objective of the current work is to use (ψ, φ)- weak contraction to prove the existence of coincidence points and establish the uniqueness of common fixed points for two pairs of self-maps in partially ordered b− metric spaces. To ensure the existence of coincidence point, out of two, one of the pairs preserve the b-EA property, and to obtain the uniqueness of the fixed point, they hold a weakly compatible property. An example and few corollaries are given to illustrate the main finding.