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

被引：69
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
收藏
页码：357 / 383
页数：27
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