Metric estimates for the calculus of multimappings
type: Item
instance of: scholarly article
title: Metric estimates for the calculus of multimappings
zbMATH Open document ID: 0905.54011
DOI: 10.1023/A:1008625212506
published in: Set-Valued Analysis
publication date: 1998-04-26T00:00:00Z
review text: The paper contains estimates for \(d(z,E(x))\) where \(E\) is a multifunction of the form \(E(x)= F(x)\cap H^{-1} (G(x))\), and for \(d(z,F(x) \cap G(x))\). \(F\) and \(G\) are convex-valued and \(H\) a convex multifunction, acting between normed linear spaces. Then some consequences about continuity properties of multifunctions obtained via intersections or inverse images are deduced, also whithout convexity assumptions. Applications to the differential calculus of multifunctions as well as to the calculus of normal cones are finally provided.
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 54B20
zbMATH DE Number: 1145867
zbMATH Keywords: hemicontinuity
zbMATH Keywords: normal cone
zbMATH Keywords: contingent derivative
author: Jean-Paul Penot
reviewed by: Włodzimierz Ślęzak
MaRDI profile type: Publication
full work available at URL: a:1008625212506
OpenAlex ID: W2299510627
description: scientific article; zbMATH DE number 1145867