Optimal value functions of generalized semi-infinite min-max programming on a noncompact set期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Optimal value functions of generalized semi-infinite min-max programming on a noncompact set

Authors:	Changyu?Wang author-information" > author-information__contact u-icon-before" > mailto:wcy@eyou.com" title=" wcy@eyou.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Xiaoqi?Yang,Xinmin?Yang

Affiliation:	1. Institute of Operations Research,Qufu Normal University,Qufu 273165,China;Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China 2. Department of Applied Mathematics,The Hong Kong Polytechnic University,Hong Kong,China 3. Department of Mathematics,Chongqing Normal University,Chongqing 400047,China

Abstract:	In this paper, we study optimal value functions of generalized semi-infinite min-max programming problems on a noncompact set. Directional derivatives and subd-ifferential characterizations of optimal value functions are given. Using these properties, we establish first order optimality conditions for unconstrained generalized semi-infinite programming problems.

Keywords:	optimal value function directional derivative subdifferential semi-infinite programming first order optimality condition.
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