Comments on the Michael Selection Problem in Hyperconvex Metric Spaces | Zendy

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Comments on the Michael Selection Problem in Hyperconvex Metric Spaces

Author(s) -

Susan Park

Publication year - 2005

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1273

Subject(s) - paracompact space , selection (genetic algorithm) , mathematics , metric space , metric (unit) , space (punctuation) , fixed point , complete metric space , mathematical economics , pure mathematics , discrete mathematics , computer science , mathematical analysis , artificial intelligence , economics , operations management , hausdorff space , operating system

Let X be a paracompact space, H a hyperconvex metric space, and Φ : X ( H a l.s.c. multimap with nonempty closed values. Then Φ admits a continuous selection under certain restrictions. Such selection results are applied to obtain fixed point theorems.

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