Optimality criteria and duality in multiobjective programming involving nonsmooth invex functions

被引：10
|
作者：
Nobakhtian, S. [1 ]
机构：
[1] Univ Isfahan, Dept Math, Esfahan, Iran
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2006年 / 35卷 / 04期
关键词：
cone approximation; duality; efficient solution; multiobjective problems;
D O I：
10.1007/s10898-005-5320-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper a generalization of invexity is considered in a general form, by means of the concept of K-directional derivative. Then in the case of nonlinear multiobjective programming problems where the functions involved are nondifferentiable, we established sufficient optimality conditions without any convexity assumption of the K-directional derivative. Then we obtained some duality results.
引用
下载
收藏
页码：593 / 606
页数：14
相关论文
共 50 条
  • [41] OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING
    WANG Liancheng
    DONG Jiali
    LIU Qinghuai (Depertment of Mathematics
    Journal of Systems Science & Complexity, 1994, (03) : 250 - 255
  • [42] Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
    DoSang Kim
    HyoJung Lee
    Journal of Inequalities and Applications, 2010
  • [43] Optimality Conditions and Duality in Nonsmooth Multiobjective Programs
    Kim, Do Sang
    Lee, Hyo Jung
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [44] OPTIMALITY CONDITIONS AND DUALITY IN NONSMOOTH MULTIOBJECTIVE OPTIMIZATION
    Ahmad, Izhar
    Sharma, Sarita
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2007, 8 (03) : 417 - 430
  • [45] On Nondifferentiable Multiobjective Programming Involving Type-I α-Invex Functions
    Mishra, S. K.
    Rautela, J. S.
    Pant, R. P.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2008, 2 (03): : 317 - 331
  • [46] Optimality and duality for nonsmooth multiobjective optimization problems
    Kwan Deok Bae
    Do Sang Kim
    Journal of Inequalities and Applications, 2013
  • [47] Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization
    Kwan Deok Bae
    Do Sang Kim
    Fixed Point Theory and Applications, 2011
  • [48] Optimality and Duality Theorems in Nonsmooth Multiobjective Optimization
    Bae, Kwan Deok
    Kim, Do Sang
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 11
  • [49] Optimality and duality for nonsmooth multiobjective optimization problems
    Bae, Kwan Deok
    Kim, Do Sang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [50] Duality in nonsmooth multiobjective fractional programming
    Liu, Sanming
    Gao, Kequan
    Gongcheng Shuxue Xuebao/Chinese Journal of Engineering Mathematics, 1998, 15 (01): : 105 - 108
12345