Metric-valued mappings of bounded variation.
type: Item
instance of: scholarly article
title: Metric-valued mappings of bounded variation.
zbMATH Open document ID: 1033.26014
DOI: 10.1023/A:1016054010760
published in: Journal of Mathematical Sciences (New York)
publication date: 2002-11-28T00:00:00Z
review text: This is an interesting survey on the theory and applications of maps of bounded variation with values in an abstract metric (in particular, normed) space. The author discusses interconnections with other classes of maps, discontinuity properties of the variation of a map, and structural properties of the space of all such maps. In the last part he studies various generalizations including multivalued maps and their selections.
Mathematics Subject Classification ID: 26A45
Mathematics Subject Classification ID: 54C65
Mathematics Subject Classification ID: 26A16
zbMATH DE Number: 1821732
zbMATH Keywords: maps of bounded variation
zbMATH Keywords: discontinuity
zbMATH Keywords: multivalued maps
zbMATH Keywords: selections
author: V. V. Chistyakov
reviewed by: Jürgen Appell
MaRDI profile type: Publication
full work available at URL: a:1016054010760
OpenAlex ID: W2592990089
description: scientific article; zbMATH DE number 1821732