| 向量优化中E超有效解的最优性条件 |
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| 引用本文： | 林安,刘学文.向量优化中E超有效解的最优性条件[J].西南师范大学学报(自然科学版),2018,43(7):101-105. |
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| 作者姓名： | 林安 刘学文 |
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| 作者单位： | 1. 重庆师范大学涉外商贸学院, 数学与计算机学院, 重庆 401520;2. 重庆师范大学 数学科学学院, 重庆 401331 |
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| 基金项目： | 重庆市科委重点项目（cstc2015jcyjBX0029）；重庆师范大学校级科研项目（KY2017003）. |
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| 摘 要： | 基于改进集而提出的向量优化问题的E-超有效性是对经典的超有效性概念的重要推广.在实局部凸拓扑线性空间中，利用邻近E-次似凸性建立了向量优化问题E-超有效解的一些最优性必要与充分条件，推广了一些已有结果到近似解.
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| 关 键 词： | 向量优化 E-超有效性 邻近E-次似凸性 最优性条件 |
| 收稿时间： | 2017/1/17 0:00:00 |
Optimality Conditions of E-Super-efficient Solutions in Vector Optimization |
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| LIN An,LIU Xue-wen.Optimality Conditions of E-Super-efficient Solutions in Vector Optimization[J].Journal of Southwest China Normal University(Natural Science),2018,43(7):101-105. |
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| Authors: | LIN An LIU Xue-wen |
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| Institution: | 1. Mathematics and Computer College, Chongqing Normal University Foreign Trade and Business College, Chongqing 401520, China;2. School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China |
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| Abstract: | E-super efficiency defined by improvement sets is an important generalization of the classical super-efficiency in vector optimization. In this paper, by means of the nearly E-subconvexlikeness, some necessary and sufficient optimality conditions of E-super-efficient solutions are established for vector optimization problems in a real locally convex topological linear space. Our main results generalize some known results to the approximate solution case. |
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| Keywords: | vector optimization E-super efficiency nearly E-subconvexlikeness optimality condition |
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