A fixed point theorem for multivalued nonexpansive mappings in Banach spaces of normal structure (Q915111)
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scientific article; zbMATH DE number 4151187
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed point theorem for multivalued nonexpansive mappings in Banach spaces of normal structure |
scientific article; zbMATH DE number 4151187 |
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A fixed point theorem for multivalued nonexpansive mappings in Banach spaces of normal structure (English)
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1990
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According to \textit{T. C. Lim}'s fixed point principle [Bull. Am. Math. Soc. 80, 1123-1126 (1974; Zbl 0297.47045)], multivalued compact-convex valued nonexpansive maps, which leave a bounded convex weakly compact subset of a uniformly convex Banach space invariant, have fixed points. The author proves an analogue for Banach spaces of normal structure.
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Lim's fixed point principle
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multivalued compact-convex valued nonexpansive maps
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Banach spaces of normal structure
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