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First Order Necessary Optimality Conditions for a Class of Nonsmooth Generalized Semi-Infinite Optimization Problems
Pang Liping 1,Wang Mingzheng 2,Xia Zunquan 3 * #
1.CORA, Department of Applied Mathematics, Dalian University of Technology
2.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing
3.Department of Applied Mathematics- Dalian University of Technology
*Correspondence author
#Submitted by
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Funding: 国家自然科学基金、教育部博士点基金（No.20020141013；10471015）
Opened online:19 October 2005
Accepted by: none
Citation: Pang Liping,Wang Mingzheng,Xia Zunquan.First Order Necessary Optimality Conditions for a Class of Nonsmooth Generalized Semi-Infinite Optimization Problems[OL]. [19 October 2005] http://en.paper.edu.cn/en_releasepaper/content/3307
 
 
In this paper, we study two classes of generalized semi-infinite nonsmooth optimization problems, One is the nonsmooth convex generalized semi-infinite programming problem. Another is the nonsmooth Lipschitz semi-infinite programming problem. First order necessary optimality conditions for these two kinds of problems are obtained using the differentiability properties of the optimal value functions or bounds for the directional derivatives of the optimal value function.
Keywords:Generalized semi-infinite programming, first order necessary optimality condition,optimal value function, directional differentiability, local lipschitz programming,convex programming
 
 
 

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