Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions

被引：71

作者：

Yao, Yonghong ^{[1
,2
]}

Li, Huayu ^{[1
]}

Postolache, Mihai ^{[3
,4
,5
,6
]}

机构：

[1] Tiangong Univ, Sch Math Sci, Tianjin, Peoples R China

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

[3] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

[4] Asia Univ, Dept Interior Design, Taichung, Taiwan

[5] Romanian Acad, Gh Mihoc C Lacob Inst Math Stat & Appl Math, Bucharest, Romania

[6] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest, Romania

来源：

OPTIMIZATION | 2022年 / 71卷 / 09期

关键词：

Split problem; equilibrium problem; fixed point; pseudomonotone operators; pseudocontractive operators; STRONG-CONVERGENCE; PROJECTION ALGORITHMS;

D O I：

10.1080/02331934.2020.1857757

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, we investigate the split equilibrium problems and fixed point problems in Hilbert spaces. We provide a unified framework for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are pseudocontractive. We suggest an iterative algorithm for solving the split problem and demonstrate its weak convergence.

引用

页码：2451 / 2469

页数：19

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