THE GENERALIZED CONDITIONAL GRADIENT METHOD FOR COMPOSITE MULTIOBJECTIVE OPTIMIZATION PROBLEMS ON RIEMANNIAN MANIFOLDS

被引：2
|
作者：
Li, Xiaobo [1 ]
Ge, Xiaochun [2 ]
Tu, Kai [3 ]
机构：
[1] Civil Aviat Flight Univ China, Sch Sci, Guanghan 618300, Peoples R China
[2] Southwest Petr Univ, Sch Sci, Chengdu 610500, Peoples R China
[3] Shenzhen Univ, Sch Math Sci, Shenzhen 518060, Peoples R China
来源：
JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2023年 / 7卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Composite multiobjective optimization problems; Generalized conditional gradient method; Global convergence; Iteration-complexity bound; CONVERGENCE;
D O I：
10.23952/jnva.7.2023.5.10
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of composite multiobjective optimization problems, subject to a closed convex constraint set, defined on Riemannian manifolds. To tackle this problem, we propose the generalized conditional gradient method with two step size strategies, including Armijo step size and the nonmonotone line search step size. Under some reasonable conditions, the global convergence result is established, and the iteration-complexity bound for composite multiobjective optimization problems is presented on Riemannian manifolds.
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页码：839 / 857
页数：19
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