STRONG CONVERGENCE OF HALPERN-TYPE PROJECTION SUBGRADIENT ALGORITHMS WITH LINEAR SEARCH FOR SPLIT EQUILIBRIUM PROBLEMS

被引：0
|
作者：
Yao, Yonghong [1 ,2 ,3 ]
Postolache, Mihai [4 ,5 ,6 ]
Yao, Jen-Chih [4 ]
机构：
[1] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China
[2] North Minzu Univ, Hlth Big Data Res Inst, Adv Intelligent Percept & Control Technol Innovat, Yinchuan 750021, Ningxia, Peoples R China
[3] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[4] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
[5] Romanian Acad, Gh Mihoc C Iacob Inst Math Stat & Appl Math, Bucharest 050711, Romania
[6] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 02期
关键词：
FIXED-POINT PROBLEM; EXTRAGRADIENT METHOD; MAPPINGS;
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 survey iterative methods for split equilibrium problems in Hilbert spaces. We present a Halpern-type projection subgradient algorithm with linear search for solving split equilibrium problems in which the considered bi-functions f and g are pseudomonotone and monotone, respectively. We prove that the proposed algorithm converges strongly to a special solution which is nearest to anchor.
引用
收藏
页码：363 / 373
页数：11
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