THE QUASI-NEWTON METHOD FOR THE COMPOSITE MULTIOBJECTIVE OPTIMIZATION PROBLEMS

被引：0
|
作者：
Peng, Jianwen [1 ]
Zhang, Xue-Qing [2 ]
Zhang, Tao [3 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Sichuan Int Studies Univ, Sch Int Business & Management, Chongqing 400031, Peoples R China
[3] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 10期
关键词：
Composite multiobjective optimization problem; quasi-Newton method; Pareto stationarity; convergence analysis; CONVERGENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new quasi-Newton method for the composite multiobjective optimization problems (in short, CMOP) with Armijo line search. Under some suitable conditions, we show that each accumulation point of the sequence generated by the quasi-Newton algorithm, if exists, is both a Pareto stationary point and a Pareto optimal point of (CMOP).
引用
收藏
页码：2557 / 2569
页数：13
相关论文
共 50 条
  • [1] PROXIMAL QUASI-NEWTON METHODS FOR THE COMPOSITE MULTIOBJECTIVE OPTIMIZATION PROBLEMS
    Peng, Jianwen
    Ren, Jie
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (01) : 207 - 221
  • [2] Quasi-Newton methods for multiobjective optimization problems
    Morovati, Vahid
    Basirzadeh, Hadi
    Pourkarimi, Latif
    4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH, 2018, 16 (03): : 261 - 294
  • [3] Quasi-Newton methods for multiobjective optimization problems
    Vahid Morovati
    Hadi Basirzadeh
    Latif Pourkarimi
    4OR, 2018, 16 : 261 - 294
  • [4] Quasi-Newton's method for multiobjective optimization
    Povalej, Ziga
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 : 765 - 777
  • [5] QUASI-NEWTON METHODS FOR MULTIOBJECTIVE OPTIMIZATION PROBLEMS: A SYSTEMATIC REVIEW
    Kumar K.
    Ghosh D.
    Upadhayay A.
    Yao J.C.
    Zhao X.
    Applied Set-Valued Analysis and Optimization, 2023, 5 (02): : 291 - 321
  • [6] A Quasi-Newton Method with Wolfe Line Searches for Multiobjective Optimization
    Prudente, L. F.
    Souza, D. R.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 194 (03) : 1107 - 1140
  • [7] A Quasi-Newton Method with Wolfe Line Searches for Multiobjective Optimization
    L. F. Prudente
    D. R. Souza
    Journal of Optimization Theory and Applications, 2022, 194 : 1107 - 1140
  • [8] Quasi-Newton methods for solving multiobjective optimization
    Qu, Shaojian
    Goh, Mark
    Chan, Felix T. S.
    OPERATIONS RESEARCH LETTERS, 2011, 39 (05) : 397 - 399
  • [9] A modified quasi-Newton method for uncertain multiobjective optimization problems under a finite uncertainty set
    Kumar, Shubham
    Mahato, Nihar Kumar
    Ansary, Md Abu T.
    Ghosh, Debdas
    Treanta, Savin
    ENGINEERING OPTIMIZATION, 2024,
  • [10] A superlinearly convergent nonmonotone quasi-Newton method for unconstrained multiobjective optimization
    Mahdavi-Amiri, N.
    Sadaghiani, F.
    OPTIMIZATION METHODS & SOFTWARE, 2020, 35 (06): : 1223 - 1247
12345