On variational problems:: Characterization of solutions and duality

被引：17

作者：

Arana-jiménez, M

Osuna-Gómez, R

Ruiz-Garzón, G

Rojas-Medar, M

机构：

[1] Univ Sevilla, Dept Estadist & IO, Seville, Spain

[2] SIES Vega Guadalete, Cadiz 11580, Spain

[3] Univ Cadiz, Dept Estadist & IO, Cadiz, Spain

[4] UNICAMP, DMA, IMECC, BR-13081970 Campinas, SP, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 311卷 / 01期

关键词：

variational problem; pseudoinvexity; critical point; duality;

D O I：

10.1016/j.jmaa.2004.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new class of pseudoinvex functions for variational problems. Using this new concept, we obtain a necessary and sufficient condition for a critical point of the variational problem to be an optimal solution, illustrated with an example. Also, weak, strong and converse duality are established. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：1 / 12

页数：12

共 18 条

[11] THE ESSENCE OF INVEXITY [J].