Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems

被引：26
|
作者：
Zhu, Li-Jun [1 ]
Yao, Yonghong [2 ,3 ]
机构：
[1] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ningx, Yinchuan 750021, Peoples R China
[2] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[3] Kyung Hee Univ, Ctr Adv Informat Technol, Seoul 02447, South Korea
来源：
MATHEMATICS | 2023年 / 11卷 / 03期
基金：
中国国家自然科学基金;
关键词：
split problem; fixed point; variational inclusion; demicontractive operator; monotone operator; MONOTONE-OPERATORS; SUM;
D O I：
10.3390/math11030641
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which the involved operators S and T are demicontractive operators and g is plain monotone. Strong convergence theorem is proved under some mild conditions.
引用
收藏
页数：12
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