Lipschitz-like property relative to a set and the generalized Mordukhovich criterion

In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property relative to a closed set by employing regular normal cone and limiting normal cone of a restricted graph of the set-valued mapping. We will obta...

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Bibliographic Details
Published in:	Mathematical programming Vol. 189; no. 1-2; pp. 455 - 489
Main Authors:	Meng, K. W., Li, M. H., Yao, W. F., Yang, X. Q.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021 Springer Nature B.V
Subjects:	Calculus of Variations and Optimal Control; Optimization Combinatorics Criteria Full Length Paper Graphical representations Mapping Mathematical and Computational Physics Mathematical functions Mathematical Methods in Physics Mathematics Mathematics and Statistics Mathematics of Computing Numerical Analysis Theoretical 90C31 90C30 49J53 Mordukhovich criterion Lipschitz-like property relative to a set Graphical modulus Projectional coderivative Level-set mapping
ISSN:	0025-5610, 1436-4646
Online Access:	Get full text
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