Parallel proximal point methods for systems of vector optimization problems on Hadamard manifolds without convexity

被引：76

作者：

Ceng, L. C. ^{[1
]}

Li, X. ^{[2
]}

Qin, X. ^{[3
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai, Peoples R China

[2] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China

[3] Zhejiang Normal Univ, Dept Math, Jinhua, Zhejiang, Peoples R China

来源：

OPTIMIZATION | 2020年 / 69卷 / 02期

关键词：

Systems of vector optimization problems; Hadamard manifold; parallel proximal point method; VARIATIONAL-INEQUALITIES; STRONG-CONVERGENCE; MULTIOBJECTIVE OPTIMIZATION; NONSMOOTH ANALYSIS; GENERAL SYSTEM; ALGORITHM;

D O I：

10.1080/02331934.2019.1625354

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, the local weak Pareto optimality conditions for nonsmooth vector optimization problems are presented on Hadamard manifolds. Some convergence results of the parallel proximal point algorithms for finding a solution of vector optimization problems are established.

引用

页码：357 / 383

页数：27

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