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Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-invex Functions 被引量：1

Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-invex Functions

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摘要 In this paper, we discuss a large number of sets of global parametric sufficient optimality conditions under various generalized （η,ρ）-invexity assumptions for a semi-infinite minmax fractional programming problem. In this paper, we discuss a large number of sets of global parametric sufficient optimality conditions under various generalized （η,ρ）-invexity assumptions for a semi-infinite minmax fractional programming problem.

作者 G.J.Zalmai

机构地区 Department of Mathematics and Computer Science

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2007年第2期217-234,共18页 应用数学学报（英文版）

关键词 Semi-infinite programming discrete minmax fractional programming generalized invex functions infinitely many equality and inequality constraints sufficient optimality conditions Semi-infinite programming, discrete minmax fractional programming, generalized invex functions,infinitely many equality and inequality constraints, sufficient optimality conditions

分类号 O224 [理学—运筹学与控制论]

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参考文献1

1G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4

二级参考文献2

1G.J.Zalmai.Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(2):217-234. 被引量：1
2G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4

共引文献3

1G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4
2张彩芬,吴泽忠.一类广义分式规划的最优性条件和对偶[J].四川师范大学学报（自然科学版）,2014,37(4):506-510. 被引量：2
3张彩芬,陈进作.不变凸性下广义分式规划的最优性条件和对偶[J].湖南城市学院学报（自然科学版）,2019,28(6):50-54.

同被引文献1

1G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4

引证文献1

1G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4

二级引证文献4

1G.J.Zalmai.Global Parametric Sufficient Optimality Conditions for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(2):217-234. 被引量：1
2G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4
3张彩芬,吴泽忠.一类广义分式规划的最优性条件和对偶[J].四川师范大学学报（自然科学版）,2014,37(4):506-510. 被引量：2
4张彩芬,陈进作.不变凸性下广义分式规划的最优性条件和对偶[J].湖南城市学院学报（自然科学版）,2019,28(6):50-54.

1G.J.Zalmai.Parametric Duality Models for Semi-infinite Discrete Minmax Fractional Programming Problems Involving Generalized (η,ρ)-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2007,23(3):353-376. 被引量：4
2UPADHYAY B B,MISHRA S K.Nonsmooth Semi-Infinite Minmax Programming Involving Generalized(Φ, ρ)-Invexity[J].Journal of Systems Science & Complexity,2015,28(4):857-875.
3王彩玲,卢秀双.一类广义不变凸函数的最优性条件[J].吉林大学学报（理学版）,2012,50(1):6-10. 被引量：1
4G.J. Zalmai,Qing-hong Zhang.Global Parametric Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (α, η, ρ)-V-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2013,29(1):63-78.
5崔勇.不含K_3图的周长[J].辽宁大学学报（自然科学版）,1997,24(4):32-35.
6雷鸣,李文钰,姜元政.广义不变凸函数多目标规划的对偶性[J].数学学习与研究,2016(24):159-159.
7苗红梅.B-(p,r,a)凸函数的Wolfe型对偶条件[J].纺织高校基础科学学报,2016,29(3):356-359. 被引量：1
8李向有,张庆祥.广义分式规划的对偶性[J].湖北大学学报（自然科学版）,2015,37(1):87-90.
9G.J. ZALMAI,Qing-hong ZHANG.Parametric Duality Models for Semiinfinite Multiobjective Fractional Programming Problems Containing Generalized (α, η, ρ)-V-Invex Functions[J].Acta Mathematicae Applicatae Sinica,2013,29(2):225-240.
10ZHANG Qing-xiang,JIANG Yan,KANG Rui-rui.Sufficient Optimality Conditions for Multiobjective Programming Involving (V, ρ)h,ψ-type Ⅰ Functions[J].Chinese Quarterly Journal of Mathematics,2012,27(3):409-416. 被引量：3

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