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

页码：2557 / 2569

页数：13

共 24 条

[1]

[Anonymous], 1999, NONLINEAR PROGRAMMIN

[2] A Newton-type proximal gradient method for nonlinear multi-objective optimization problems [J].

Ansary, Md Abu Talhamainuddin .

OPTIMIZATION METHODS & SOFTWARE, 2023, 38 (03) :570-590

[3]

Aubin J.P., 1994, Differential Inclusions

[4]

Bagirov A., 2014, Introduction to Nonsmooth Optimization

[5] Convergence of the projected gradient method for quasiconvex multiobjective optimization [J].

Bello Cruz, J. Y. ;

Lucambio Perez, L. R. ;

Melo, J. G. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) :5268-5273

[6] Proximal methods in vector optimization [J].

Bonnel, H ;

Iusem, AN ;

Svaiter, BF .

SIAM JOURNAL ON OPTIMIZATION, 2005, 15 (04) :953-970

[7] CONVERGENCE ANALYSIS OF A PROXIMAL-LIKE MINIMIZATION ALGORITHM USING BREGMAN FUNCTIONS [J].

Chen, Gong ;

Teboulle, Marc .

SIAM JOURNAL ON OPTIMIZATION, 1993, 3 (03) :538-543

[8] A subgradient method for multiobjective optimization [J].

Da Cruz Neto, J. X. ;

Da Silva, G. J. P. ;

Ferreira, O. P. ;

Lopes, J. O. .

COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2013, 54 (03) :461-472

[9]

Ehrgott M., 2005, Multicriteria optimization, V2nd

[10]

Eichfelder G, 2008, VECTOR OPTIM, P1, DOI 10.1007/978-3-540-79159-1

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