| 几乎锥-次类凸向量集值优化的Benson真有效性 |
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| 引用本文： | 徐义红,刘三阳.几乎锥-次类凸向量集值优化的Benson真有效性[J].高校应用数学学报(英文版),2003,18(1):95-102. |
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| 作者姓名： | 徐义红 刘三阳 |
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| 作者单位： | Xu Yihong 1，2 Liu Sanyang11 Dept. of Appl. Math.，Xidian Univ.，Xi'an 710071，China. 2 Dept. of Fundamental Science，Nanchang Univ.，Nanchang 330029，China. |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (69972 0 36) . |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ 1 ],Ｙａｎｇ ,ＬｉａｎｄＷａｎｇｉｎｔｒｏｄｕｃｅｄａｎｅｗｃｌａｓｓｏｆｇｅｎｅｒａｌｉｚｅｄｃｏｎｖｅｘｓｅｔ ｖａｌｕｅｄｆｕｎｃ ｔｉｏｎｓ,ｔｅｒｍｅｄｎｅａｒｌｙｃｏｎｅ ｓｕｂｃｏｎｖｅｘｌｉｋｅｆｕｎｃｔｉｏｎｓ.Ｉｎ 2 ],ＣｈｅｎａｎｄＲｏｎｇｓｔｕｄｉｅｄＢｅｎｓｏｎｐｒｏｐｅｒｅｆｆｉｃｉｅｎｃｙｉｎｖｅｃｔｏｒｏｐｔｉｍｉｚａｔｉｏｎｗｉｔｈｇｅｎｅｒａｌｉｚｅｄｃｏｎｅ ｓｕｂｃｏｎｖｅｘｌｉｋｅｖｅｃｔｏｒ ｖａｌｕｅｄｆｕｎｃ ｔｉｏｎｓ…
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| 收稿时间： | 1 April 2002 |
Benson proper efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions |
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| Xu Yihong,Liu Sanyang.Benson proper efficiency in the nearly cone-subconvexlike vector optimization with set-valued functions[J].Applied Mathematics A Journal of Chinese Universities,2003,18(1):95-102. |
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| Authors: | Xu Yihong Liu Sanyang |
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| Institution: | (1) Dept. of Appl. Math., Xidian Univ., 710071 Xi’an, China;(2) Dept. of Fundamental Science, Nanchang Univ., 330029 Nanchang, China |
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| Abstract: | Some properties of convex cones are obtained and are used to derive several equivalent conditions as well as another important property for nearly cone-subconvexlike set-valued functions. Under the assumption of nearly cone-subconvexlikeness,a Lagrangian multiplier theorem on Benson proper efficiency is presented. Related results are generalized. |
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| Keywords: | nearly cone-subconvexlikeness convex cones Benson proper efficiency Lagrangian multiplier theorem |
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