| 关于E-凸函数和E-凸规划的错误结论 |
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| 引用本文： | 简金宝.关于E-凸函数和E-凸规划的错误结论[J].数学研究与评论,2003,23(3):461-466. |
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| 作者姓名： | 简金宝 |
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| 作者单位： | 广西大学数学与信息科学系,广西,南宁,530004 |
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| 基金项目： | National Natural Science Foundation of China(10261001)，Science Foundation of Guangxi(0236001) |
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| 摘 要： | 最近Youness在文1]建立了一类E-凸函数和一类E-凸规划,并分析和给出了他们的主要性质。本文通过6个反例说明文1]关于E-凸函数和E-凸规划的大部分结论是错误的。
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| 关 键 词： | 凸集 凸函数 凸规划 广义凸性 |
| 收稿时间： | 2000/12/11 0:00:00 |
Incorrect Results for E-Convex Functions and E-Convex Programming |
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| JIAN Jin-bao.Incorrect Results for E-Convex Functions and E-Convex Programming[J].Journal of Mathematical Research and Exposition,2003,23(3):461-466. |
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| Authors: | JIAN Jin-bao |
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| Institution: | Dept. of Math. & Information Science; Guangxi University; Nanning; China |
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| Abstract: | A class of functions and a sort of nonlinear programming called respectively E-convex functions and E-convex programming were presented and studied recently by Youness in 1], In this paper, we point out the most results for .E-convex functions and E-convex programming in 1] are not true by six counter examples. |
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| Keywords: | Convex sets convex functions convex programming generalized converx-ity |
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