About: Exact calculus for proximal subgradients with applications to optimization

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Attributs	Valeurs
type	work Article
Is Part Of	CSVAA 2004 - Control Set-Valued Analysis and Applications
Subject	Nonsmooth analysis Set-valued and variational analysis Proximal normals subgradients and coderivatives; Subdifferential calculus; Marginal and value functions; Weak sharp minima; Necessary optimality conditions; Banach spaces.
Title	Exact calculus for proximal subgradients with applications to optimization
Date	2007-01-01(xsd:dateTime)
has manifestation of work	http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/m/print http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/m/web
related by	http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/authorship/3 http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/authorship/1 http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/authorship/4 http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/authorship/2
Author	Nam, Nguyen Mau Mordukhovich, Boris S.
Editor	Piétrus, Alain H., Michel
Abstract	The paper contains new exact calculus rules for proximal subgradients of extended-real-valued functions defined on arbitrary real Banach spaces. We also develop efficient formulas for evaluating proximal subgradients of marginal/value functions in various problems of parametric optimization. The results obtained are employed to derive new necessary optimality conditions in unconstrained nondifferentiable programming.
article type	research-article
publisher identifier	proc071707
Date Copyrighted	2007-01-01(xsd:dateTime)
Rights	© EDP Sciences, ESAIM, 2007
Rights Holder	EDP Sciences, ESAIM
is part of this journal	ESAIM: Proceedings
is primary topic of	http://hub.abes.fr/edp/periodical/proc/2007/volume_17/issue_2007/proc071707/w/record

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