A converse duality theorem on higher-order dual models in nondifferentiable mathematical programming

被引:0
|
作者
X. M. Yang
K. L. Teo
机构
[1] Chongqing Normal University,Department of Mathematics
[2] Curtin University,Department of Mathematics and Statistics
来源
Optimization Letters | 2012年 / 6卷
关键词
Nondifferentiable mathematical programming; Converse duality; Higher-order dual models;
D O I
暂无
中图分类号
学科分类号
摘要
We consider in this paper Mond–Weir type higher-order dual models in nondifferentiable mathematical programming introduced by Mishra and Rueda (2002, J. Math. Anal. Appl. 272, 496–506). We give a converse duality theorem on Mond-Weir type higher-order dual model under mild assumptions.
引用
收藏
页码:11 / 15
页数:4
相关论文
共 50 条
  • [1] A converse duality theorem on higher-order dual models in nondifferentiable mathematical programming
    Yang, X. M.
    Teo, K. L.
    [J]. OPTIMIZATION LETTERS, 2012, 6 (01) : 11 - 15
  • [2] Higher-order generalized invexity and duality in nondifferentiable mathematical programming
    Mishra, SK
    Rueda, NG
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 272 (02) : 496 - 506
  • [3] OPTIMALITY CONDITIONS AND HIGHER-ORDER DUALITY FOR A NONDIFFERENTIABLE MATHEMATICAL PROGRAMMING CLASS
    Preda, Vasile
    Beldiman, Miruna
    Baibarac, Elena Cristina
    [J]. MATHEMATICAL REPORTS, 2008, 10 (04): : 375 - 384
  • [4] Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming
    Yang, XM
    Teo, KL
    Yang, XQ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 297 (01) : 48 - 55
  • [5] Higher-order duality in nondifferentiable multiobjective programming
    Ahmad, I.
    Husain, Z.
    Sharma, Sarita
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2007, 28 (9-10) : 989 - 1002
  • [6] On Higher-order Duality in Nondifferentiable Minimax Fractional Programming
    Al-Homidan, S.
    Singh, Vivek
    Ahmad, I
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2020, 15 (02): : 1348 - 1368
  • [7] On Higher-order Duality in Nondifferentiable Minimax Fractional Programming
    Al-Homidan, S.
    Singh, Vivek
    Ahmad, I
    [J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2021, 16 (01): : 417 - 438
  • [8] A note on higher-order nondifferentiable symmetric duality in multiobjective programming
    Agarwal, Ravi P.
    Ahmad, Izhar
    Gupta, S. K.
    [J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (08) : 1308 - 1311
  • [9] Symmetric duality for a higher-order nondifferentiable multiobjective programming problem
    Indira P Debnath
    Shiv K Gupta
    Sumit Kumar
    [J]. Journal of Inequalities and Applications, 2015
  • [10] Symmetric duality for a higher-order nondifferentiable multiobjective programming problem
    Debnath, Indira P.
    Gupta, Shiv K.
    Kumar, Sumit
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,