On paraconvexity of starlike sets
type: Item
instance of: scholarly article
title: On paraconvexity of starlike sets
zbMATH Open document ID: 0890.46009
DOI: 10.1007/BF02104878
published in: Siberian Mathematical Journal
publication date: 1997-06-18T00:00:00Z
review text: Call a subset of a vector space starlike if it is representable as the union of some family of convex sets with the finite intersection property. The aim of the present article is to discuss the question of existence of continuous single-valued selections for an arbitrary lower semicontinuous closed-valued mapping with paracompact domain and values starlike sets in a Hilbert space.
Mathematics Subject Classification ID: 46A55
Mathematics Subject Classification ID: 46C05
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 1023972
zbMATH Keywords: family of convex sets with the finite intersection property
zbMATH Keywords: existence of continuous single-valued selections
zbMATH Keywords: lower semicontinuous closed-valued mapping with paracompact domain
zbMATH Keywords: starlike sets in a Hilbert space
author: Pavel V. Semenov
MaRDI profile type: Publication
cites work: Continuous selections. I
cites work: Paraconvex Sets.
cites work: An Example Concerning Continuous Selections on Infinite-Dimensional Spaces
full work available at URL: https://doi.org/10.1007/bf02104878
OpenAlex ID: W2030796013
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description: scientific article; zbMATH DE number 1023972