李普希茨连续性
数学
凸性
对偶(序理论)
约束(计算机辅助设计)
类型(生物学)
最优化问题
应用数学
期限(时间)
功能(生物学)
数学优化
数学分析
纯数学
生态学
物理
几何学
量子力学
进化生物学
金融经济学
经济
生物
作者
Chanoksuda Khantree,Rabian Wangkeeree
出处
期刊:Carpathian Journal of Mathematics
[Technical University of Cluj Napoca, North University Center of Baia Mare]
日期:2019-01-01
卷期号:35 (3): 417-426
被引量:10
标识
DOI:10.37193/cjm.2019.03.16
摘要
This paper devotes to the quasi ε-solution for robust semi-infinite optimization problems (RSIP) involving a locally Lipschitz objective function and infinitely many locally Lipschitz constraint functions with data uncertainty. Under the fulfillment of robust type Guignard constraint qualification and robust type Kuhn-Tucker constraint qualification, a necessary condition for a quasi ε-solution to problem (RSIP). After introducing the generalized convexity, we give a sufficient optimality for such a quasi ε-solution to problem (RSIP). Finally, we also establish approximate duality theorems in term of Wolfe type which is formulated in approximate form.
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