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Journal of Analysis & Number Theory
An International Journal


Volumes > Vol. 3 > No. 2


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

PP: 137-142
Mehmet KIR, Hukmi Kiziltunc,
Eslamian and Abkar 9 introduced the fixed point theorem 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 theorem, Kannan fixed point theorem and Chatterjea fixed point theorem.

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