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关于E-凸函数及E-凸规划几个错误结论的修正 被引量:7

MODIFICATIONS OF SOME INCORRECT RESULTS FOR E-CONVEX FUNCTIONS AND E-CONVEX PROGRAMMING
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摘要 本文研究Youness在1999年建立的有关E凸函数和E规划的结论.利用E凸函数和E凸规划的基本性质和优化分析技术,获得了有关E凸函数E凸规划的几个错误结论的修正.. This paper discusses the associated results presented by Youness in 1999 for E-convex functions and E-convex programming. By using the basic properties of E-convex functions and E-convex programming and the optimization analysis techniques, some incorrect results for E-convex functions and E- convex programming are modified.
作者 覃义 简金宝
出处 《数学杂志》 CSCD 北大核心 2006年第2期177-180,共4页 Journal of Mathematics
基金 国家自然科学基金(10261001) 广西科学基金(0236001 0249003)
关键词 E-凸集 E-凸函数 E-凸规划 广义凸性 E-convex sets E-convex function E-convex programming generalized conveity
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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.

同被引文献33

  • 1王建勇,宋颖,白咸伦.E-拟凸函数[J].聊城大学学报(自然科学版),2003,16(3):17-19. 被引量:14
  • 2赵克全,陈哲.半严格预拟不变凸函数的一个充分条件[J].重庆师范大学学报(自然科学版),2006,23(3):13-15. 被引量:5
  • 3宁刚.E-凸函数的若干特征[J].运筹学学报,2007,11(1):121-126. 被引量:14
  • 4YOUNESS E A.E-Convex Sets,E-Convex Functions,and E-Convex Programming[J].Journal of Optimization Theory and Applications,1999,102:439-450.
  • 5YANG X M.On E-Convex Sets,E-Convex Functions,and E-Convex Programming[J].Journal of Optimization Theory and Applications,2001,109:699-704.
  • 6JIAN Jin-bao.Incorrect Results for E-Convex Functions and E-Convex Programming[J].Journal of Mathematical Research and Exposition,2003,23:461-466.
  • 7CHEN Xiu-su.Some Properities of Semi-E-convex Functions[J].J Math Appl,2002,275:251-262.
  • 8Youness E.A. E-Convex Sets, E-Convex Functions, and E-Convex Programming[J].{H}Journal of Optimization Theory and Applications,1999,(02):440-446.
  • 9Yang. 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.
  • 10Jian 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.

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