SUBGRADIENT ALGORITHM FOR SOLVING CONSTRAINED MULTIOBJECTIVE OPTIMIZATION PROBLEMS IN HILBERT SPACES

被引：0

作者：

Wang, W. E. N. T. I. N. G. ^{[1
]}

An, A. I. M. I. N. ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Sch Elect Engn & Informat Engn, Lanzhou, Peoples R China

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2023年 / 24卷 / 05期

关键词：

Pareto solution; multiobjective optimization; subgradient method; CONVERGENCE; NONSMOOTH;

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 subgradient algorithm for solving the constrained multiobjective minimization problem in Hilbert spaces. Under some certain assumptions, we prove that the algorithm converges weakly to a Pareto optimal solution of the problem. Some numerical examples are presented to illustrate the convergence of the proposed algorithm.

引用

页码：991 / 1003

页数：13

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