On paraconvexity of starlike sets

DOI10.1007/BF02104878zbMath0890.46009OpenAlexW2030796013MaRDI QIDQ1358074

Pavel V. Semenov

Publication date: 18 June 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104878

zbMATH Keywords

existence of continuous single-valued selectionsfamily of convex sets with the finite intersection propertylower semicontinuous closed-valued mapping with paracompact domainstarlike sets in a Hilbert space

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (2)

Reduction principles in the theory of selections ⋮ On continuous selections of set-valued mappings with almost convex values

Cites Work

• Continuous selections. I
• Paraconvex Sets.
• An Example Concerning Continuous Selections on Infinite-Dimensional Spaces

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