Nonregular multiobjective problems: optimality conditions

被引：0
|
作者：
Melo, A. S. [1 ]
dos Santos, L. B. [2 ]
Rojas-Medar, M. A. [3 ]
机构：
[1] Univ Fed Reconcavo Bahia, Dept Math, Amargosa, BA, Brazil
[2] Univ Fed Parana, Dept Math, Curitiba, PR, Brazil
[3] Univ Taparaca, Dept Math, Arica, Chile
来源：
OPTIMIZATION | 2023年
关键词：
Nonregular problems; generalized constraint qualifications; p-regularity; DEGENERATE EXTREMUM PROBLEMS; PROGRAMMING-PROBLEMS; EQUALITY; EFFICIENCY; THEOREM;
D O I：
10.1080/02331934.2023.2286322
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：
Necessary and sufficient conditions for multiobjective problems with both equality constraints and inequality constraints are presented. These conditions are applied when the constraints of the problem do not necessarily satisfy any regularity assumptions and they are based on the concept of p-regularity, introduced by Tret'yakov (1983, Necessary conditions for optimality of pth order. Control Optim.;28- 35). We introduce the notion of generalized Mangasarian-Fromovitz constraint qualification. This new concept is used to obtain our results.
引用
收藏
页数：23
相关论文
共 50 条
  • [1] Higher-order optimality conditions for nonregular multiobjective problem
    Melo, A. S.
    Dos Santos, L. B.
    Rojas-Medar, M. A.
    [J]. ANNALS OF OPERATIONS RESEARCH, 2024,
  • [2] OPTIMALITY AND PARETO OPTIMALITY CONDITIONS FOR THE PROBLEMS WITH NONREGULAR OPERATOR EQUALITY CONSTRAINTS
    LEDZEWICZKOWALEWSKA, U
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 17 (04) : 347 - 360
  • [3] The pth order optimality conditions for nonregular optimization problems
    Brezhneva, O. A.
    Tret'yakov, A. A.
    [J]. DOKLADY MATHEMATICS, 2008, 77 (02) : 163 - 165
  • [4] Optimality Conditions for Nonregular Optimal Control Problems and Duality
    Vivanco-Orellana, V.
    Osuna-Gomez, R.
    Hernandez-Jimenez, B.
    Rojas-Medar, M. A.
    [J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2018, 39 (03) : 361 - 382
  • [5] Optimality conditions in extremal problems with nonregular inequality constraints
    Izmailov, AF
    [J]. MATHEMATICAL NOTES, 1999, 66 (1-2) : 72 - 81
  • [6] The pth order optimality conditions for nonregular optimization problems
    O. A. Brezhneva
    A. A. Tret’yakov
    [J]. Doklady Mathematics, 2008, 77
  • [7] Optimality conditions in extremal problems with nonregular inequality constraints
    A. F. Izmailov
    [J]. Mathematical Notes, 1999, 66 : 72 - 81
  • [8] OPTIMALITY CONDITIONS AND DUALITY FOR MULTIOBJECTIVE CONTROL PROBLEMS
    Gulati, T. R.
    Husain, I.
    Ahmed, A.
    [J]. JOURNAL OF APPLIED ANALYSIS, 2005, 11 (02) : 225 - 245
  • [9] On ε-optimality conditions for multiobjective fractional optimization problems
    Moon Hee Kim
    Gwi Soo Kim
    Gue Myung Lee
    [J]. Fixed Point Theory and Applications, 2011
  • [10] On sufficient optimality conditions for multiobjective control problems
    Valeriano Antunes de Oliveira
    Geraldo Nunes Silva
    [J]. Journal of Global Optimization, 2016, 64 : 721 - 744
12345