ALTERNATED INERTIAL METHOD FOR NONEXPANSIVE MAPPINGS WITH APPLICATIONS

被引：0
|
作者：
Iyiola, O. S. [1 ]
Shehu, Y. [2 ]
机构：
[1] Calif Univ Penn, Dept Math Comp Sci & Informat Syst, California, PA USA
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 05期
关键词：
alternated inertial; Krasnoselskii-Mann iteration; nonexpansive mappings; rate of convergence; fused lasso problem; MAXIMAL MONOTONE-OPERATORS; PRIMAL-DUAL ALGORITHM; STRONG-CONVERGENCE; ACCRETIVE-OPERATORS; NONLINEAR MAPPINGS; FINITE FAMILY; POINT PROBLEM; ZERO-POINT; WEAK; SUM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is known that many popular continuous optimization problems can be converted to a fixed point problem of a nonexpansive mapping. This paper is to infuse the alternated inertial step into the popular Krasnoselskii-Mann iteration for nonexpansive mappings. We show that the sequence of iterates generated by our new method converges to a fixed point of the underlined nonexpansive mapping. We also complement the analysis by obtaining the convergence rate of the proposed method in terms of fixed point residual. Numerical implementations are presented to compare with other associated and popular inertial iterative procedures.
引用
收藏
页码：1175 / 1189
页数：15
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