COMMON FIXED POINT FOR MAPPINGS UNDER CONTRACTIVE CONDITION BASED ON ALMOST PERFECT FUNCTIONS AND α-ADMISSIBILITY

Abstract

In this paper, we introduce the notion of (α, β, ψ)-contraction for two mappings defined on a set X. We utilize our new definition to formulate and prove many fixed and common fixed point results in the context of metric space. Our results are extension and improvement for many exciting results in the context of metric spaces.