Higher-Order Weakly Generalized Adjacent Epiderivatives and Applications to Duality of Set-Valued Optimization

被引：0

作者：

Q. L. Wang

S. J. Li

机构：

[1] Chongqing University,College of Mathematics and Science

[2] Chongqing Jiaotong University,College of Sciences

来源：

Journal of Inequalities and Applications | / 2009卷

关键词：

Convex Cone; Strong Duality; Sufficient Optimality Condition; Weak Duality; Converse Duality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A new notion of higher-order weakly generalized adjacent epiderivative for a set-valued map is introduced. By virtue of the epiderivative and weak minimality, a higher-order Mond-Weir type dual problem and a higher-order Wolfe type dual problem are introduced for a constrained set-valued optimization problem, respectively. Then, corresponding weak duality, strong duality, and converse duality theorems are established.

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