On metric and calmness qualification conditions in subdifferential calculus
type: Item
instance of: scholarly article
title: On metric and calmness qualification conditions in subdifferential calculus
zbMATH Open document ID: 1156.49013
author: Alexander D. Ioffe
author: Jiří Outrata
published in: Set-Valued Analysis
publication date: 2008-06-25T00:00:00Z
review text: The authors derive criteria for calmness/subregularity in terms of outer subdifferentials and outer coderivatives for set-valued mappings between finite dimensional spaces. They discuss the relationship between the qualification conditions and establish the basic calculus rules of nonsmooth subdifferential calculus for sets, functions and set-valued mappings under the metric and calmness/subregularity qualification conditions.
reviewed by: Do Van Luu
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 58C06
zbMATH DE Number: 5292861
zbMATH Keywords: subdifferential calculus
zbMATH Keywords: qualification conditions
zbMATH Keywords: metric estimates
zbMATH Keywords: calmness
zbMATH Keywords: metric subregularity
zbMATH Keywords: outer subdifferential
zbMATH Keywords: outer coderivative
zbMATH Keywords: limiting subdifferential
zbMATH Keywords: limiting normal cone
MaRDI profile type: Publication
full work available at URL: s11228-008-0076-x
OpenAlex ID: W2150140216
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DOI: 10.1007/S11228-008-0076-X
description: scientific article; zbMATH DE number 5292861