Fixed point of α-ψ-contractive type mappings in uniform spaces

Author:

Ali Muhammad Usman,Kamran Tayyab,Karapınar Erdal

Abstract

Abstract In this paper, we shall investigate the existence and uniqueness of a fixed point of α-ψ-contractive mappings in the context of uniform spaces. We shall also prove some common fixed point theorems by introducing the notion of α-admissible pairs. We shall construct some examples to support our novel results. MSC:46T99, 47H10, 54H25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference32 articles.

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2. Karapınar E, Samet B: Generalized α - ψ -contractive type mappings and related fixed point theorems with applications. Abstr. Appl. Anal. 2012., 2012: Article ID 793486

3. Asl JH, Rezapour S, Shahzad N: On fixed points of α - ψ -contractive multifunctions. Fixed Point Theory Appl. 2012., 2012: Article ID 212 10.1186/1687-1812-2012-212

4. Mohammadi B, Rezapour S, Shahzad N: Some results on fixed points of α - ψ -Ciric generalized multifunctions. Fixed Point Theory Appl. 2013., 2013: Article ID 24 10.1186/1687-1812-2013-24

5. Ali MU, Kamran T:On "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -contractive multi-valued mappings. Fixed Point Theory Appl. 2013., 2013: Article ID 137 10.1186/1687-1812-2013-137

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