An inertial proximal point method for difference of maximal monotone vector fields in Hadamard manifolds

被引：4
作者：
Andrade, Joao S. [1 ,2 ]
Lopes, Jurandir de O. [2 ]
Souza, Joao Carlos de O. [2 ,3 ]
机构：
[1] Univ Fed Piaui, CSHNB, BR-64607670 Picos, PI, Brazil
[2] Univ Fed Piaui, Dept Math, CCN, BR-64049550 Teresina, PI, Brazil
[3] Aix Marseille Univ, AMSE, CNRS, Marseille, France
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2023年 / 85卷 / 04期
关键词：
Variational inclusion; Proximal point method; Monotone vector fields; DC functions; Hadamard manifolds; ALGORITHM; OPERATORS; CONVERGENCE;
D O I：
10.1007/s10898-022-01240-1
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：
We propose an inertial proximal point method for variational inclusion involving difference of two maximal monotone vector fields in Hadamard manifolds. We prove that if the sequence generated by the method is bounded, then every cluster point is a solution of the non-monotone variational inclusion. Some sufficient conditions for boundedness and full convergence of the sequence are presented. The efficiency of the method is verified by numerical experiments comparing its performance with classical versions of the method for monotone and non-monotone problems.
引用
收藏
页码：941 / 968
页数：28
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