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Zbl 1030.49003
Finet, Catherine; Quarta, Lucas; Troestler, Christophe
Vector-valued variational principles. (English)
[J] Nonlinear Anal., Theory Methods Appl. 52, No.1, A, 197-218 (2003). ISSN 0362-546X

In this paper the authors introduce a new notion of lower semi-continuity called order lower semi-continuity, and study its relationship with other lower semi-continuity concepts. The main result of the paper is a Deville-Godefroy-Zizler type variational principle for order lower semi-continuous vector-valued functions.
[Constantin Zălinescu (Iaşi)]

MSC 2000:: *49J40 Variational methods including variational inequalities
90C29 Multi-objective programming, etc.
49J53 Set-valued and variational analysis
49J45 Optimal control problems inv. semicontinuity and convergence

Keywords: lower semi-continuity; vector-valued perturbed minimization principle; Deville-Godefroy-Zizler variational principle

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