Nonmonotone Proximal Gradient Method for Composite Multiobjective Optimization Problems

被引：0
|
作者：
Jian-Wen Peng [1 ]
Hua Sun [1 ]
Elisabeth Köbis [2 ]
机构：
[1] Chongqing Normal University,School of Mathematical Sciences
[2] Norwegian University of Science and Technology,undefined
来源：
Journal of Optimization Theory and Applications | 2025年 / 205卷 / 3期
关键词：
Composite multiobjective optimization problem; Nonmonotone proximal gradient method; Convergence analysis; Pareto stationary point; 90C29;
D O I：
10.1007/s10957-025-02667-8
中图分类号：
学科分类号：
摘要：
In this paper, we introduce proximal gradient methods with non-monotone Armijo line search rule of both kinds, max-type and average-type, to solve composite multiobjective optimization problems (CMOP). Moreover, the convergence analysis is given, and we show that all accumulation points of a sequence generated by both of the two kinds of nonmonotone proximal gradient methods are Pareto stationary points of (CMOP). Finally, we present numerical experiments illustrating the practical performance of these methods
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