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E-凸集的若干性质

Some properties of E-convex set
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摘要 研究了E-凸集的性质,给出并证明了E-凸集的若干充分必要条件。 This paper studies the properties of E-convex set gives and proves some sufficient and necessary conditions of E-convex set.
出处 《齐齐哈尔大学学报(自然科学版)》 2014年第1期90-91,94,共3页 Journal of Qiqihar University(Natural Science Edition)
基金 黑龙江省教育厅科学技术研究项目(12511608) 齐齐哈尔大学教育科学研究项目(2013023)
关键词 凸集 凸函数 E-凸集 convex set convex function E-convex set
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参考文献4

  • 1Youness E.A. E-Convex Sets, E-Convex Functions, and E-Convex Programming[J].{H}Journal of Optimization Theory and Applications,1999,(02):440-446.
  • 2Yang. X.M. Technical Note On E-Convex Sets, E-Convex Functions, and E-Convex Programming[J].{H}Journal of Optimization Theory and Applications,2001,(03):699-704.
  • 3Jian Jin-bao. Incorrect Results for E-Convex Functions and E-Convex Programming[J].Journal of Mathematical Research &Exposition,2003,(03):461-463.doi:10.3770/j.issn.2095-2651.2003.03.032.
  • 4覃义,简金宝.关于E-凸函数及E-凸规划几个错误结论的修正[J].数学杂志,2006,26(2):177-180. 被引量:7

二级参考文献3

  • 1Youness.E.A.E-convesx sets,E-convex function and E-convex programming[J].Journal of Optimiztion Theory and Application,1999,102(2):439-450.
  • 2Yang X.M.On E-convex sets,E-convex function and E-convex programming[J].Journal of Optimization Theory and Applications,2001,109(3):699-704.
  • 3JianJinbao(J.B.Jing).Incorrect results for E-convex sets,E-convex function and E-convex programming[J].Mathematical Research and Exposition,2003,23(3):461-466.

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