Set-valued nonexpansive maps satisfying the Leray-Schauder condition (Q1912688)
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scientific article; zbMATH DE number 878127
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Set-valued nonexpansive maps satisfying the Leray-Schauder condition |
scientific article; zbMATH DE number 878127 |
Statements
Set-valued nonexpansive maps satisfying the Leray-Schauder condition (English)
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13 May 1996
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The author obtains some interesting set-valued variants of \textit{N. M. Gulevich's} fixed point theorems for nonexpansive maps [J. Sov. Math. 26, 1607-1611 (1984; Zbl 0538.47032)], wherein he adopts ``more general boundary conditions such as the weakly inwardness or the Leray-Schauder condition than the Rothe condition in Gulevich's theorem [op. cit.]''.
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Opial's condition
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Gulevich's fixed point theorems for nonexpansive maps
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Leray-Schauder condition
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Rothe condition
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