E-凸集的几个基本性质 |
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引用本文: | 姜燕,余国林,王青水.E-凸集的几个基本性质[J].吉林林学院学报,2010(2):122-124. |
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作者姓名: | 姜燕 余国林 王青水 |
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作者单位: | 北方民族大学信息与计算科学学院,宁夏银川750021 |
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基金项目: | 国家自然科学基金资助项目(10901004);国家民委自然科学基金项目(09BF06);宁夏自治区自然科学基金项目(NZ0959). |
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摘 要: | 利用比较与分析的方法,由E-凸集的定义出发,研究了E-凸集的若干基本性质.所得结果丰富并深化了凸分析的基本内容,拓宽了广义凸性在优化理论及其应用中的研究范围.
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关 键 词: | 凸集 E-凸集 广义凸性 E-凸规划 |
Some Basic Properties of E-convex Sets |
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Authors: | JIANG Yan YU Guo-lin WANG Qing-shui |
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Institution: | ( Institute of Information and System Computation Science, The North University for Ethnics, Yinchuan 750021, China) |
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Abstract: | In this paper, some basic properties of E-convex sets are investigated by using the methods of comparison and analysis. Based on the concept of E-convex sets, the results enrich and enlarge the fields of optimization theory and applications. |
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Keywords: | convex sets E-convex sets generalized convexity E-convex programming |
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