Vector-valued variational principles

被引：34

作者：

Finet, C ^{[1
]}

Quarta, L ^{[1
]}

Troestler, C ^{[1
]}

机构：

[1] Univ Mons, Inst Math Le Pentagone, B-7000 Mons, Belgium

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 01期

关键词：

lower semi-continuity; vector-valued perturbed minimization principles; vector-valued optimization; Deville-Godefroy-Zizler variational principle;

D O I：

10.1016/S0362-546X(02)00103-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In the context of vector-valued extensions of variational principles we are dealing with functions taking values in a Banach space partially ordered by a closed convex pointed cone. We introduce and study a new notion of semi-continuity connected with the order and we improve the vector-valued extensions of Deville-Godefroy-Zizler perturbed minimization principle. (C) 2002 Published by Elsevier Science Ltd.

引用

页码：197 / 218

页数：22

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