Variants of the Ekeland Variational Principle for a set-valued map involving the Clarke Normal Cone

In this paper we present two set-valued variants of the Ekeland variational principle involving the Clarke normal cone and establish sufficient conditions for a set-valued map to have a weak minimizer or a properly positive minimizer when it satisfies Palais–Smale type conditions.

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 316; no. 1; pp. 346 - 356
Main Author:	Ha, Truong Xuan Duc
Format:	Journal Article
Language:	English
Published:	San Diego, CA Elsevier Inc 01.04.2006 Elsevier
Subjects:	Calculus of variations and optimal control Clarke's normal cone Coderivative Ekeland's variational principle Exact sciences and technology Global analysis, analysis on manifolds Mathematical analysis Mathematics Sciences and techniques of general use Set-valued map Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Vector optimization Ekeland's variational principle Set-valued map Clarke's normal cone Coderivative Vector optimization Sufficient condition Mathematical analysis Set-valued mapping Optimization method Variational principle Palais Smale condition Clarke normal cone
ISSN:	0022-247X, 1096-0813
Online Access:	Get full text
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