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

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