Calculus of sequential normal compactness in variational analysis

In this paper we study some properties of sets, set-valued mappings, and extended-real-valued functions unified under the name of “sequential normal compactness.” These properties automatically hold in finite-dimensional spaces, while they play a major role in infinite-dimensional variational analys...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 282; no. 1; pp. 63 - 84
Main Authors:	Mordukhovich, Boris S., Wang, Bingwu
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 01.06.2003 Elsevier
Subjects:	Banach and Asplund spaces Calculus rules Exact sciences and technology Extremal principle Functional analysis Generalized differentiation Mathematical analysis Mathematics Sciences and techniques of general use Sequential normal compactness Variational analysis Variational analysis Extremal principle Calculus rules Generalized differentiation Banach and Asplund spaces Sequential normal compactness Optimal control Compactness Optimality condition Functional analysis Differentiation Banach space Generalization Constrained optimization
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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