简金宝.关于E-凸函数和E-凸规划的错误结论(英文)[J].数学研究及应用,2003,23(3):461~466 |
关于E-凸函数和E-凸规划的错误结论(英文) |
Incorrect Results for E-Convex Functions and E-Convex Programming |
投稿时间:2000-12-11 |
DOI:10.3770/j.issn:1000-341X.2003.03.014 |
中文关键词: 凸集 凸函数 凸规划 广义凸性 |
英文关键词:Convex sets convex functions convex programming generalized converx-ity. |
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中文摘要: |
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。 |
英文摘要: |
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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