| SUPER EFFICIENCY AND ITS SCALARIZATION IN TOPOLOGICAL VECTOR SPACE |
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| 作者姓名： | 胡毓达 龚循华 |
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| 作者单位： | HY YUDA (Department of Applied Mathematics，Shanghai Jiaotong University，Shanghai 200030，China) GONG XUNHUA (Department of Systems Science and Mathematics，Nanchang University，Nanchang 330047，China) |
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| 基金项目： | supported by the National Natural Science FOundation of China and the Natural Science
Foundation of Jiangxi Province. |
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| 摘 要： | 1. Introduction and PreliminariesRecently, Borwein and Zhuang1,21 introduced the concept of super efficiency in normedlinear space. Super efficiency refines the notion of efficiency and other kinds of properefficiency; they provided concise scalar characterizations and duality results when the underlying decision problem is convex. They also established a Lagrange Multiplier Theoremfor super efficiency in convex settings and expressed super efficient points as saddle pointsof appropriate L…
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| 收稿时间： | 26 December 1997 |
Super efficiency and its scalarization in topological vector space |
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| Hu Yuda,Gong Xunhua.SUPER EFFICIENCY AND ITS SCALARIZATION IN TOPOLOGICAL VECTOR SPACE[J].Acta Mathematicae Applicatae Sinica,2000,16(1):22-26. |
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| Authors: | Hu Yuda Gong Xunhua |
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| Institution: | (1) Department of Applied Mathematics, Shanghai Jiaotong University, 200030 Shanghai, China;(2) Department of Systems Science and Mathematics, Nanchang University, 330047 Nanchang, China;(3) Present address: Department of Applied Mathematics, Shanghai Jiaotong University, 200030 Shanghai, China |
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| Abstract: | In this paper, we give a characterization of super efficiency, and obtain a scalarization result for super efficiency in locally convex locally bounded topological vector spaces. The proof given here is substantially different from that given by Borwein and Zhuang. |
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| Keywords: | Vector optimization super efficiency scalarization self-allied cone |
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