Optimality Conditions for Minimax Optimization Problems with an Infinite Number of Constraints and Related Applications
查看参考文献35篇
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文摘
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This paper is concerned with the study of optimality conditions for minimax optimization problems with an infinite number of constraints, denoted by(MMOP). More precisely, we first establish necessary conditions for optimal solutions to the problem(MMOP) by means of employing some advanced tools of variational analysis and generalized differentiation. Then, sufficient conditions for the existence of such solutions to the problem(MMOP) are investigated with the help of generalized convexity functions defined in terms of the limiting subdifferential of locally Lipschitz functions. Finally, some of the obtained results are applied to formulating optimality conditions for weakly efficient solutions to a related multiobjective optimization problem with an infinite number of constraints, and a necessary optimality condition for a quasi ε-solution to problem(MMOP). |
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来源
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Acta Mathematicae Applicatae Sinica-English Series
,2021,37(2):251-263 【核心库】
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DOI
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10.1007/s10255-021-1019-7
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关键词
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minimax programming problem
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semi-infinite optimization
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limiting subdifferential
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multiobjective optimization
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approximate solutions
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地址
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Department of Mathematics,College of Science,Yanbian University, Yanji, 133002
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0168-9673 |
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学科
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数学 |
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基金
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国家自然科学基金
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the Project of Jilin Science and Technology Development for Leading Talent of Science and Technology Innovation in Middle and Young and Team Project
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文献收藏号
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CSCD:7013748
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参考文献 共
35
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