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关于E-拟凸函数几个错误命题的反例及修正 被引量:2

Counterexamples and Modifications of Several Incorrect Results of E-quasiconvex Functions
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摘要 本文对文献[1]的几个错误命题给出了反例,并利用放大映射与压缩映射对几个错误命题进行了修正,得到了几个关于E-拟凸函数的新结论。同时建立了E-拟凸函数与E-水平集之间的等价关系。 in this paper we show several incorrect results in Ref[6] ,by giving some counterexamples, some incorrect results of E-quasiconvex functions are modified. Meanwhile, the equivalent relation between E-quasiconvex functions and corresponding level sets is proved.
出处 《重庆师范大学学报(自然科学版)》 CAS 2007年第2期22-23,共2页 Journal of Chongqing Normal University:Natural Science
基金 国家自然科学基金(No.10471113)
关键词 E-凸集 E-凸函数 E-拟凸函数 E-水平集 E-convex sets E-convex functions E-quasiconvex functions E-level sets
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参考文献7

  • 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
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  • 4JIAN Jin-bao.Incorrect Results for E-Convex Functions and E-Convex Programming[J].Journal of Mathematical Research and Exposition,2003,23:461-466.
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  • 6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
  • 7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

二级参考文献13

  • 1赵克全.r-预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(1):10-13. 被引量:12
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