SELF-ADAPTIVE ALGORITHMS FOR AN EQUILIBRIUM SPLIT PROBLEM IN HILBERT SPACES

被引：1

作者：

Sun, Wenlong ^{[1
]}

Lu, Gang ^{[2
]}

Jin, Yuanfeng ^{[3
]}

Park, Choonkil ^{[4
]}

机构：

[1] Shenyang Univ Technol, Dept Math, Sch Sci, Shenyang 110870, Peoples R China

[2] Guangzhou Coll Technol & Business, Div Fdn Teaching, Guangzhou 510850, Peoples R China

[3] Yanbian Univ, Dept Math, Yanji 133001, Peoples R China

[4] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Equilibrium split problem; quasi-pseudo-contractive operator; self-adaptive algorithm; FIXED-POINT PROBLEM; ITERATIVE ALGORITHMS; AUXILIARY PRINCIPLE; FEASIBILITY PROBLEM; OPERATORS;

D O I：

10.7153/jmi-2021-15-108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose and study iterative algorithms for solving the split problem: find a common element x(dagger) epsilon C satisfying Theta(x(dagger),y)+ < Fx(dagger), y- x(dagger)> + Psi( x(dagger), y)-Psi( x(dagger), x(dagger)) >= 0, for all y epsilon C and Au epsilon Fix(S), where S be an L-Lipschitzian quasi-pseudo-contractive operator. Weak and strong convergence theorems are given under some mild assumptions.

引用

页码：1581 / 1596

页数：16

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