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：
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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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