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

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外文摘要：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.

外文关键词：

set-valued mapsvector closuregeneralized subconvexlikenessBenson proper efficient solution

作者：

ZHOU Zhi-ang

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作者单位：

Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

College of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400050, P. R. China

出版年：

2010

DOI：

10.1007/s11741-010-0662-3