Multi-valued mappings of bounded generalized variation
type: Item
instance of: scholarly article
title: Multi-valued mappings of bounded generalized variation
zbMATH Open document ID: 1039.54010
DOI: 10.1023/A:1014892001168
author: D. Massart
published in: Mathematical Notes
publication date: 2003-07-27T00:00:00Z
review text: The paper deals with some embeddings of function spaces, the structure of the mappings, the jumps of the variation, and the Helly selection principle, among other things. It is shown that a compact-valued multi-valued mapping of bounded generalized variation with respect to the Hausdorff metric has a regular selection of bounded generalized variation, and the existence of selections preserving the properties of multi-valued mappings that are defined on the direct product of an interval and a topological space, have a bounded generalized variation in the first variable, and are upper semicontinuous in the second variable.
Mathematics Subject Classification ID: 54C60
zbMATH DE Number: 1953671
zbMATH Keywords: selection
zbMATH Keywords: Helly soluton principle
zbMATH Keywords: Hausdorff metric
MaRDI profile type: Publication
full work available at URL: a:1014892001168
OpenAlex ID: W2591350148
description: scientific article; zbMATH DE number 1953671