Some generalizations of Ky Fan’s best approximation theorem

DOI10.1007/BF02901443zbMath1072.41021MaRDI QIDQ4662071

A. B. Thaheem, Nawab Hussain, Abdul Rahim Khan

Publication date: 30 March 2005

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

best approximationhyperconvex spacesmetrizable topological vector space*-nonexpansive multivalued maps

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

Metric fixed point theory on hyperconvex spaces: recent progress

Cites Work

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• Fixed point and selection theorems in hyperconvex spaces
• Approximation of *-nonexpansive random multivalued operators on Banach spaces
• Fixed-point theory for set valued mappings between topological vector spaces having sufficiently many linear functionals

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