(ψ,φ,ϵ,λ)-Contraction theorems in probabilistic metric spaces for single valued case

被引：0

作者：

Arman Beitollahi

Parvin Azhdari

机构：

[1] Islamic Azad University,Department of Statistics

[2] Islamic Azad University,Department of Statistics

来源：

Fixed Point Theory and Applications | / 2013卷

关键词：

probabilistic metric spaces; -contraction; fixed-point;

D O I：

暂无

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摘要：

In this article, we prove some fixed-point theorems for (ψ,φ,ϵ,λ)-contraction in probabilistic metric spaces for single valued case. We will generalize the definition of (ψ,φ,ϵ,λ)-contraction and present fixed-point theorem in the generalized (ψ,φ,ϵ,λ)-contraction.

引用

共 11 条

[1] Menger K(1942)Statistical metrics Proc. Natl. Acad. Sci. USA 28 535-537
[2] Mihet D(2010)A class of contractions in fuzzy metric spaces Fuzzy Sets Syst 161 1131-1137
[3] Mihet D(1999)A class of Sehgal’s contractions in probabilistic metric spaces An. Univ. Timişoara Ser. Mat.-Inform 37 105-110
[4] Beitollahi A(2012)Multi-valued Fixed Point Theory Appl 2012 1-10
[5] Azhdari P(1960)-contraction in probabilistic metric space Pac. J. Math 10 673-675
[6] Schweizer B(1988)The metrization of SM-spaces Stochastica 12 5-17
[7] Sklar A(undefined)Contractions on PM-spaces:examples and counterexamples undefined undefined undefined-undefined
[8] Throp E(undefined)undefined undefined undefined undefined-undefined
[9] Schweizer B(undefined)undefined undefined undefined undefined-undefined
[10] Sherwood H(undefined)undefined undefined undefined undefined-undefined

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