A barrier method in convex vector optimization with generalized inequality constraints

被引：0
|
作者：
Durea, Marius [1 ,2 ]
Strugariu, Radu [3 ]
机构：
[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi 700506, Romania
[2] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania
[3] Gheorghe Asachi Tech Univ, Dept Math, Bd Carol I 11, Iasi 700506, Romania
来源：
OPTIMIZATION LETTERS | 2020年 / 14卷 / 03期
关键词：
Openness; Vector convexity; Gerstewitz scalarization; Barrier method; OPTIMALITY CONDITIONS;
D O I：
10.1007/s11590-019-01393-1
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 note we present a barrier method for vector optimization problems with inequality constraints. To this aim, we firstly investigate some constraint qualification conditions and we compare them to the corresponding ones in literature. Then, we define a barrier function and observe that its basic properties do work for fairly general situations, while for meaningful convergence results of the associated barrier method we should restrict ourselves to convex case and finite dimensional setting.
引用
收藏
页码：759 / 769
页数：11
相关论文
共 50 条
  • [1] A barrier method in convex vector optimization with generalized inequality constraints
    Marius Durea
    Radu Strugariu
    [J]. Optimization Letters, 2020, 14 : 759 - 769
  • [2] DISTRIBUTED PROXIMAL-GRADIENT METHOD FOR CONVEX OPTIMIZATION WITH INEQUALITY CONSTRAINTS
    Li, Jueyou
    Wu, Changzhi
    Wu, Zhiyou
    Long, Qiang
    Wang, Xiangyu
    [J]. ANZIAM JOURNAL, 2014, 56 (02): : 160 - 178
  • [3] Generalized Newton method for linear optimization problems with inequality constraints
    Golikov, A. I.
    Evtushenko, Yu. G.
    [J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (02): : 98 - 108
  • [4] Generalized Newton method for linear optimization problems with inequality constraints
    A. I. Golikov
    Yu. G. Evtushenko
    [J]. Proceedings of the Steklov Institute of Mathematics, 2014, 284 : 96 - 107
  • [5] Generalized Newton Method for Linear Optimization Problems with Inequality Constraints
    Golikov, A. I.
    Evtushenko, Yu G.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 284 : S96 - S107
  • [6] On Distributed Convex Optimization Under Inequality and Equality Constraints
    Zhu, Minghui
    Martinez, Sonia
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (01) : 151 - 164
  • [7] Distributed Optimization with Multiple Linear Equality Constraints and Convex Inequality Constraints
    Lin, Wen-Ting
    Wang, Yan-Wu
    Xiao, Jiang-Wen
    [J]. PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 50 - 55
  • [8] LOCALLY LIPSCHITZ VECTOR OPTIMIZATION WITH INEQUALITY AND EQUALITY CONSTRAINTS
    Ginchev, Ivan
    Guerraggio, Angelo
    Rocca, Matteo
    [J]. APPLICATIONS OF MATHEMATICS, 2010, 55 (01) : 77 - 88
  • [9] Elimination of inequality constraints in convex optimization and application to yield design
    [J]. Turgeman, S. (Sylvain.Turgeman@ujf-grenoble.fr), 2001, Springer Verlag (21)
  • [10] Locally Lipschitz vector optimization with inequality and equality constraints
    Ivan Ginchev
    Angelo Guerraggio
    Matteo Rocca
    [J]. Applications of Mathematics, 2010, 55 : 77 - 88
12345