Weak and strong convergence results for solving inclusion problems and its applications

被引：0

作者：

Yang, Jun ^{[1
]}

Zhao, Huali ^{[1
]}

An, Min ^{[1
]}

机构：

[1] Xianyang Normal Univ, Sch Math & Stat, Xianyang, Shaanxi, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2022年 / 68卷 / 04期

关键词：

Inclusion problem; Forward-backward splitting method; Viscosity method; Zero point; MAXIMAL MONOTONE-OPERATORS; FIXED-POINTS; PROJECTION; SUM; ALGORITHMS; ZERO;

D O I：

10.1007/s12190-021-01644-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study splitting methods for inclusion problems in real Hilbert space. The algorithms are inspired by forward-backward splitting method, projection and contraction method, inertial method and a self-adaptive step size. Under standard assumptions, such as Lipschitz continuity and monotonicity (also maximal monotonicity), we establish convergence results of the proposed algorithms. Finally, we present the application of the proposed algorithms for solving convex minimization problems and variational inequalities.

引用

页码：2803 / 2822

页数：20

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