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 24 条
  • [1] A Newton-type proximal gradient method for nonlinear multi-objective optimization problems
    Ansary, Md Abu Talhamainuddin
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2023, 38 (03) : 570 - 590
  • [2] Aubin J.P., 1994, Differential Inclusions
  • [3] Bagirov AM., 2014, Introduction to nonsmooth optimization: theory, practice and software
  • [4] Convergence of the projected gradient method for quasiconvex multiobjective optimization
    Bello Cruz, J. Y.
    Lucambio Perez, L. R.
    Melo, J. G.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) : 5268 - 5273
  • [5] Bertsekas D. P., 1999, Nonlinear Program
  • [6] Proximal methods in vector optimization
    Bonnel, H
    Iusem, AN
    Svaiter, BF
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2005, 15 (04) : 953 - 970
  • [7] CONVERGENCE ANALYSIS OF A PROXIMAL-LIKE MINIMIZATION ALGORITHM USING BREGMAN FUNCTIONS
    Chen, Gong
    Teboulle, Marc
    [J]. SIAM JOURNAL ON OPTIMIZATION, 1993, 3 (03) : 538 - 543
  • [8] A subgradient method for multiobjective optimization
    Da Cruz Neto, J. X.
    Da Silva, G. J. P.
    Ferreira, O. P.
    Lopes, J. O.
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2013, 54 (03) : 461 - 472
  • [9] Ehrgott M., 2005, MULTICRITERIA OPTIMI
  • [10] Eichfelder G, 2008, VECTOR OPTIM, P1, DOI 10.1007/978-3-540-79159-1
123