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\((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces - MaRDI portal

\((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces (Q1367349)

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scientific article; zbMATH DE number 1063955
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English
\((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces
scientific article; zbMATH DE number 1063955

    Statements

    \((\Phi,\Delta)\)-type probabilistic contractors and solutions for nonlinear operator equations in Menger PN-spaces (English)
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    18 March 1999
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    The author has generalized the concept of probabilistic contractor to Menger PN-spaces. As an application, the existence and uniqueness of solution for the nonlinear operator equation in the general Menger PN-spaces, is established. These results improve and generalize results of \textit{Zhang} [Chin. Sci. Bull. 35, No. 19, 1451-1454 (1990)].
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    probabilistic contractor
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    Menger PN-spaces
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    nonlinear operator equation
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