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.
基金项目:
作者单位
简金宝 广西大学数学与信息科学系,广西,南宁,530004 
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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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