Functionally paraconvex sets
type: Item
instance of: scholarly article
title: Functionally paraconvex sets
zbMATH Open document ID: 0853.46008
DOI: 10.1007/BF01209085
published in: Mathematical Notes
publication date: 1995-09-12T00:00:00Z
review text: Let \(P\) be a subset of a Banach space \(E\). The author defines when \(P\) is functionally \(h\)-paraconvex. He proves that the Michael's classical theorem on continuous selections holds for wide classes of lower semicontinuous maps of a paracompact space into the Banach space \(E\) whose values are \(h\)-paraconvex.
Mathematics Subject Classification ID: 46A55
zbMATH DE Number: 795652
zbMATH Keywords: continuous selection
zbMATH Keywords: Banach space
zbMATH Keywords: lower semicontinuity
author: Pavel V. Semenov
reviewed by: John Knopfmacher
MaRDI profile type: Publication
cites work: Continuous selections. I
cites work: Q3986235
full work available at URL: https://doi.org/10.1007/bf01209085
OpenAlex ID: W2025370093
description: scientific article; zbMATH DE number 795652