Krasnoselskii-type fixed-point results (Q2843771)
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scientific article; zbMATH DE number 6201356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Krasnoselskii-type fixed-point results |
scientific article; zbMATH DE number 6201356 |
Statements
26 August 2013
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fixed point
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compact map
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\(\alpha_{K}\)-condensing map
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1-set-contractive map
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\(\varphi\)-contraction map
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\(\varphi\)-expansive map
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nonexpansive map
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solution of nonlinear integral equation
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Banach space
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Krasnoselskii-type fixed-point results (English)
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The authors prove some new Krasnosel'skij-type fixed point theorems for the sum \(S+T\), where \(S\) and \(T\) (or \(I-T\)) are maps chosen, under suitable conditions, from the classes of compact, \(\varphi\)-contractive, \(\varphi\)-expansive, \(\alpha_{K}\)-condensing, 1-set-contractive or nonexpansive maps. Their results extend, generalize or improve the classical Krasnosel'skij fixed point theorem and some of its extensions and variants. Applications are given to nonlinear integral equations.
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