An Improvement of a Known Unique Common Fixed Point Result for Four Mappings on 2-Metric Spaces

Abstract

In this paper, we introduce a new class Γ , which is weak than a known class Ψ , of real continuous functions defined on [0, + ∞) , and use another method to prove the known unique common fixed point theorem for four mappings with γ -contractive condition instead of Ψ -contractive condition on 2-metric spaces.