Benson proper efficiency for vector optimization of generalized subconvexlike set-valued maps in ordered linear spaces

被引：1

作者：

周志昂 ^{[1
,2
]}

机构：

[1] Department of Mathematics,College of Sciences,Shanghai University

[2] College of Mathematics and Statistics,Chongqing University of

来源：

Journal of Shanghai University(English Edition) | 2010年 / 14卷 / 05期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Several equivalent statements of generalized subconvexlike set-valued map are established in ordered linear spaces. Using vector closure, we introduce Benson proper efficient solution of vector optimization problem. Under the assumption of generalized subconvexlikeness, scalarization, multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency.

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页码：374 / 379

页数：6

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