STRONG CONVERGENCE OF INERTIAL MANN ALGORITHMS FOR SOLVING HIERARCHICAL FIXED POINT PROBLEMS

被引：32

作者：

Tan, Bing ^{[1
]}

Li, Songxiao ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Inst Fundamental & Frontier Sci, Chengdu, Peoples R China

来源：

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS | 2020年 / 4卷 / 03期

关键词：

Hierarchical fixed point problem; Inertial Mann algorithm; Nonexpansive mapping; Strong convergence; Viscosity method; NONLINEAR MAPPINGS; PROJECTION;

D O I：

10.23952/jnva.4.2020.3.02

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper introduces two inertial Mann algorithms to find solutions of hierarchical fixed point problems of nonexpansive mappings. We obtain strong convergence theorems in Hilbert spaces under suitable conditions. Some numerical examples are provided to illustrate the numerical behavior of the algorithms and numerical results show that our proposed algorithms are efficient and robust.

引用

页码：337 / 355

页数：19

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