On paraconvexity of starlike sets
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.
family of convex sets with the finite intersection property
existence of continuous single-valued selections
lower semicontinuous closed-valued mapping with paracompact domain
scientific article; zbMATH DE number 1023972
scientific article