| 向量优化中广义E-Benson真有效解的代数性质 |
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| 引用本文： | 王婷,刘学文.向量优化中广义E-Benson真有效解的代数性质[J].西南师范大学学报(自然科学版),2019,44(1):20-24. |
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| 作者姓名： | 王婷 刘学文 |
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| 作者单位： | 重庆西藏中学;重庆师范大学研究生院 |
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| 基金项目： | 重庆市科委重点基金项目（cstc2015jcyjBX0029）. |
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| 摘 要： | 利用代数内部和代数闭包等工具,在适当的广义凸性条件下研究了集值向量优化问题广义E-Benson真有效解的一些代数性质,建立了广义E-Benson真有效解的线性标量化结果、拉格朗日乘子定理和鞍点定理.
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| 关 键 词： | 向量优化 广义E-Benson 代数内部 线性标量化 拉格朗日乘子 |
| 收稿时间： | 2017/2/7 0:00:00 |
Algebraic Characterizations of Generalized E-Benson Proper Efficient Solutions in Vector Optimization |
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| WANG Ting,LIU Xue-wen.Algebraic Characterizations of Generalized E-Benson Proper Efficient Solutions in Vector Optimization[J].Journal of Southwest China Normal University(Natural Science),2019,44(1):20-24. |
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| Authors: | WANG Ting LIU Xue-wen |
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| Institution: | 1. Chongqing Xizang Middle School, Chongqing 400036, China;2. Chongqing Normal University, Department of Graduate, Chongqing 401331, China |
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| Abstract: | In this paper, under some suitable generalized convexity and by means of algebraic interior and algebraic closure, algebraic characterizations of generalized E-Benson proper efficient solutions have been researched for vector optimization problems with set-valued maps, linear scalarization result, Lagrange multiplier theorem and saddle point theorem are established for generalized E-Benson proper efficient solutions. |
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| Keywords: | vector optimization generalized E-Benson proper efficient solutions algebraic interior linear scalarization Lagrange multiplier |
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