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Lipschitz and contractiveness criteria for nonlinear integral operators (Q1062265)

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scientific article; zbMATH DE number 3913090
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English
Lipschitz and contractiveness criteria for nonlinear integral operators
scientific article; zbMATH DE number 3913090

    Statements

    Lipschitz and contractiveness criteria for nonlinear integral operators (English)
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    1984
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    In this paper criteria of Lipschitzianness and contractibility of nonlinear integral operators of Urysohn type are studied. These operators appear introducing certain nonlinear integro-differential equations. Necessary and sufficient conditions of Lipschitzianness and contractibility for Urysohn operators from \(L_1\) to \(L_p\) and from \(C\) to \(C\) are given.
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    Lipschitzianness and contractibility of nonlinear integral operators of Urysohn type
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    nonlinear integro-differential equations
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