Fixed points of continuous rotative mappings on the real line (Q2812242)
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scientific article; zbMATH DE number 6594205
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed points of continuous rotative mappings on the real line |
scientific article; zbMATH DE number 6594205 |
Statements
16 June 2016
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rotative mappings
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Lipschitzian mapping
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fixed point theorems
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non-expansive mappings
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Fixed points of continuous rotative mappings on the real line (English)
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In order to assure the existence of fixed points for nonexpansive mappings, one needs to impose some conditions on the space, or on the mapping. Rotativeness and conditions of a mapping on a nonempty closed interval are such properties that guarantee the existence of fixed points of a self mapping. The authors mainly present fixed point theorems for continuous rotative self real mappings. They also give a theorem on a normed space \(X\) for the special function \(f(x)=cx+x_{0}\) for \(x_{0}\in{X}\) and \(c\) a complex number.
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