STRONG CONVERGENCE OF A KM ITERATIVE ALGORITHM FOR COMPUTING A SPLIT COMMON FIXED-POINT OF QUASI-NONEXPANSIVE OPERATORS

被引：0

作者：

Dang, Yazheng ^{[1
]}

Rodrigues, Brian ^{[2
]}

Sun, Jie ^{[3
,4
]}

机构：

[1] Univ Shanghai Sci & Technol, Sch Management, Shanghai, Peoples R China

[2] Singapore Management Univ, Lee Kong Chain Sch Business, Singapore, Singapore

[3] Natl Univ Singapore, Sch Business, Singapore, Singapore

[4] Curtin Univ, Sch EECMS, Bentley, WA, Australia

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2021年 / 22卷 / 05期

基金：

上海市自然科学基金;

关键词：

KM algorithm; strong convergence; fixed point; quasi-nonexpensive operator; VISCOSITY APPROXIMATION METHODS; SETS; WEAK; PROJECTION; THEOREM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A modified Krasnoselski-Mann iterative algorithm is proposed for solving the split common fixed-point problem for quasi-nonexpansive operators. A parameter sequence is introduced to enhance convergence. It is shown that the proposed iterative algorithm strongly converges to a split common fixed-point in Hilbert spaces. This result extends the applicability of the KM algorithm.

引用

页码：969 / 978

页数：10

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