Noncompact-type Krasnoselskii fixed-point theorems and their applications (Q2802676)

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scientific article; zbMATH DE number 6574163
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Noncompact-type Krasnoselskii fixed-point theorems and their applications
scientific article; zbMATH DE number 6574163

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    Noncompact-type Krasnoselskii fixed-point theorems and their applications (English)
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    26 April 2016
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    transport equations
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    fixed point theorems
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    noncompact mappings
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    measure of noncompactness
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    contractions
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    expansions
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    Darboux problem
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    The authors present a new version of the Krasnoselskii fixed point theorem for a sum of two operators in which it is not assumed that the involved operators are necessarily compact and continuous. Some applications to a class of transport equations, Darboux problems, periodic problems for a class of difference equations, and to perturbed Volterra type integral equations are considered.
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