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.
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页码：2451 / 2469
页数：19
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