学术
国际标准刊号：ISSN 1007-6093
国内统一刊号：CN 31-1732
摘 要:
在序线性空间中建立了广义半似凸集值映射的择一定理．利用向量闭包，引进了集值优化的Benson真有效解．在广义半似凸的假设下，获得了Benson真有效性意义．下的标量化定理，Lagrangian乘子定理和鞍点定理．[著者文摘]
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文章出处:
《运筹学学报》-2007年11卷3期 -95-104页
OR Transactions
分 类 号:
[参考文献]
Benson Proper Efficiency of Vector Optimization with Generalized Semiconvexlike Set-Valued Maps in Ordered Linear Spaces
Zhou Zhiang（College of Mathematics and Physics,Chongqing Institute of Technology, Chongqing 400050, China.）
Abstract:
An alternative theorem of generalized semiconvexlike set-valued maps is established in ordered spaces. Using vector closure, Benson proper efficient solution of set-valued optimization is introduced.Under the assumption of generalized semiconvexlikeness, scalarization, Lagrangian multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.[著者文摘]
Key words:
Operations research, set-valued maps, generalized semiconvexlikeness, alternative theorem, Benson proper efficient solution
收稿日期: 2006-06-29
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