Michael Selection Problem in Hyperconvex Metric Spaces | Zendy

Xian Wu | Zendy

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Michael Selection Problem in Hyperconvex Metric Spaces

Author(s) -

Xian Wu

Publication year - 2003

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/1158

Subject(s) - selection (genetic algorithm) , metric (unit) , mathematics , metric space , mathematical economics , computer science , artificial intelligence , pure mathematics , economics , operations management

In the present paper, the Michael selection problem is researched in hyperconvex metric spaces. Our results show that the answer is “yes” for hyperconvex metric spaces and that the lower semicontinuity of the multi-valued mapping can be weakened. Moreover, as an application of our selection theorem, a fixed point theorem for locally-uniform weak lower semicontinuous multi-valued mappings is given.

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