Nondifferentiable fractional semi-infinite multiobjective optimization problems

被引：29
|
作者：
Thai Doan Chuong [1 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
OPERATIONS RESEARCH LETTERS | 2016年 / 44卷 / 02期
关键词：
Fractional semi-infinite multiobjective programming; Optimality condition; Duality; Limiting subdifferential; Generalized convex function; DUALITY; OPTIMALITY;
D O I：
10.1016/j.orl.2016.02.003
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：
Employing some advanced tools of variational analysis and generalized differentiation, we establish necessary conditions for local (weakly) efficient solutions of a nonsmooth fractional multiobjective optimization problem with an infinite number of inequality constraints. Sufficient conditions for such solutions to the considered problem are also obtained by means of proposing the use of (strictly) generalized convex functions. In addition, we state a dual problem to the primal one and explore duality relations. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：260 / 266
页数：7
相关论文
共 50 条
  • [1] DUALITY FOR A CLASS OF NONSMOOTH SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEMS
    Singh, Vivek
    Jayswal, Anurag
    Stancu-Minasian, Ioan
    Rusu-Stancu, Andreea Mădălina
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2022, 84 (02): : 61 - 68
  • [2] DUALITY FOR A CLASS OF NONSMOOTH SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEMS
    Singh, Vivek
    Jayswal, Anurag
    Stancu-Minasian, Ioan
    Rusu-Stancu, Andreea Madalina
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (02): : 61 - 68
  • [3] Nonsmooth Semi-infinite Multiobjective Optimization Problems
    Thai Doan Chuong
    Kim, Do Sang
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 160 (03) : 748 - 762
  • [4] Nonsmooth Semi-infinite Multiobjective Optimization Problems
    Thai Doan Chuong
    Do Sang Kim
    Journal of Optimization Theory and Applications, 2014, 160 : 748 - 762
  • [5] ISOLATED AND PROPER EFFICIENCIES FOR SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL PROBLEMS
    Singh, Vivek
    Jayswal, Anurag
    Stancu-Minasian, Ioan
    Rusu-Stancu, Andreea Madalina
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (03): : 111 - 124
  • [6] Isolated and proper efficiencies for semi-infinite multiobjective fractional problems
    Singh, Vivek
    Jayswal, Anurag
    Stancu-Minasian, Ioan
    Rusu-Stancu, Andreea Madalina
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (03): : 111 - 124
  • [7] Optimality and duality relations for multiobjective fractional semi-infinite optimization problems with equilibrium constraints
    Biswas, Bishal
    Gupta, S. K.
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025,
  • [8] APPROXIMATE NECESSARY OPTIMALITY IN FRACTIONAL SEMI-INFINITE MULTIOBJECTIVE OPTIMIZATION
    Shitkovskaya, Tatiana
    Hong, Zhe
    Kim, Do Sang
    Piao, Guang-Ri
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) : 195 - 204
  • [9] Duality for nondifferentiable multiobjective semi-infinite programming with generalized convexity
    Gao, Xiaoyan
    Journal of Theoretical and Applied Information Technology, 2012, 44 (01): : 78 - 85
  • [10] OPTIMALITY CONDITIONS IN NONCONVEX SEMI-INFINITE MULTIOBJECTIVE OPTIMIZATION PROBLEMS
    Piao, Guang-Ri
    Jiao, Liguo
    Kim, Do Sang
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (01) : 167 - 175
12345