The Concept of weak (ψ,α,β) for Some Well Known Fixed Point Theorems

Abstract

Eslamian and Abkar (8) introduced fixed point of the weak- (ψ, α, β) contractive mappings in complete metric space (also see (9)). In this paper we established a generalized concept of the weak-(ψ, α, β) contractive condition depended on another mapping. Thus, we obtained a new generalization of Banach fixed point t heorem, Kannan fixed point theorem and Chatterjea fixed point theorem.