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严格B-预不变凸分式规划的最优性条件 被引量：3

Optimality condition for fractional programming on strict B-preinvex functions
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摘要 最优性条件是数学规划中十分重要的内容,首先得到了严格B-预不变凸函数的一个重要定理,然后在严格B-预不变凸性的条件下,讨论了一类分式规划问题的Kuhn-Tucker型最优性条件. Optimality condition is an important part for mathematical programming. In this paper, one important theorem of strict B - preinvex functions was obtained. Under the condition of strict B - preinvex functions, the Kuhn - Tucker optimality condition of fractional programming on strict B - preinvex functions was discussed.
作者 李婷 彭再云
机构地区 重庆师范大学数学与计算机科学学院
出处 《重庆工商大学学报（自然科学版）》 2008年第2期123-126,共4页 Journal of Chongqing Technology and Business University:Natural Science Edition
关键词 严格B-预不变凸函数 最优性条件 分式规划 Kuhn—Tucker条件 strict B - preinvex functions optimality condition fractional programming Kuhn - Tucker condition
分类号 O174.4 [理学—基础数学]
  • 相关文献

参考文献8

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二级参考文献10

  • 1Weir T, Mond B. Preinvex functions in multiple objective optimization. J Math Anal Appl, 1988, 136:29 -38
  • 2Weir T, Jeyakumar V. A class of nonconvex functions and mathematical programming. Bulletin of The Australian Mathematical Society, 1988, 38:177- 189
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  • 4Bector C R, Singh C. B-vex functions. J Optim Theory Appl, 1991, 71:237-253
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共引文献2

同被引文献13

  • 1赵克全,黄应全.B-不变凸分式规划的最优性条件及其对偶定理[J].湖北民族学院学报（自然科学版）,2004,22(3):19-21. 被引量：2
  • 2杨新民,KOK LAY TEO.关于一类不可微规划问题的对偶性[J].重庆师范大学学报（自然科学版）,2005,22(3):18-24. 被引量：3
  • 3孙玉华,谢铁军.B-(p,r)-不变凸规划问题的Wolfe型对偶[J].北京工业大学学报,2005,31(6):666-669. 被引量：5
  • 4X. J. Long,Z. Y. Peng,B. Zeng.Remark on cone semistrictly preinvex functions[J]. Optimization Letters . 2009 (3)
  • 5C. R. Bector,S. K. Suneja,C. S. Lalitha.Generalized B-vex functions and generalized B-vex programming[J]. Journal of Optimization Theory and Applications . 1993 (3)
  • 6S. K. Suneja,C. Singh,C. R. Bector.Generalization of preinvex and B-vex functions[J]. Journal of Optimization Theory and Applications . 1993 (3)
  • 7C. R. Bector,C. Singh.B-vex functions[J]. Journal of Optimization Theory and Applications . 1991 (2)
  • 8Antczak T.On (p,r)-invexity-type non linear pmgramm ingprob lem s. JM ath Anal App l . 2001
  • 9Antczak T.(p,r)i-nvexity in muh iob jective programm ing. E J O R . 2OO4
  • 10Antczak T.A c lass ofB- (p,r)i-nvex functions and m athe-m atical programm ing. Journal ofM athem atical Analysisand App lications . 2003

引证文献3

二级引证文献7

重庆工商大学学报（自然科学版）
2008年 第2期

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