SPLITTING ALGORITHMS FOR SOLVING VARIATIONAL INCLUSIONS AND PSEUDOMONOTONE VARIATIONAL INEQUALITIES

被引：0

作者：

Zhu, Li-Jun ^{[1
]}

Yao, Zhangsong ^{[2
]}

机构：

[1] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China

[2] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Peoples R China

来源：

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

关键词：

Variational inclusion; maximal monotone; resolvent; variational inequality; pseudomonotone operator; MONOTONE-OPERATORS; SUM;

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 present a splitting method for solving a variational inclusion problem and a pseudomonotone variational inequality problem in a real Hilbert space. This method consists of forward-backward type method and modified extragradient method with self-adaptive techniques. We show that the sequence generated by the splitting method strongly converges to a com-mon solution of the variational inclusion and the pseudomonotone variational inequality.

引用

页码：1021 / 1032

页数：12

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