Michael selection problem in hyperconvex metric spaces

DOI10.4171/ZAA/1158zbMath1063.47042MaRDI QIDQ1431136

Xian Wu

Publication date: 27 May 2004

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

multivalued mappingcontinuous selectionhyperconvex metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Cites Work

• Continuous selections. I
• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Contractibility and generalized convexity
• Concepts of lower semicontinuity and continuous selections for convex valued multifunctions
• Extension and selection theorems in topological spaces with a generalized convexity structure
• KKM and Ky Fan theorems in hyperconvex metric spaces
• Hyperconvexity and approximate fixed points
• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
• Fixed point and selection theorems in hyperconvex spaces
• Hyperconvexity and Nonexpansive Multifunctions

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