An Inertial Iterative Algorithm with Strong Convergence for Solving Modified Split Feasibility Problem in Banach Spaces

被引：1

作者：

Jia, Huijuan ^{[1
,2
]}

Liu, Shufen ^{[1
]}

Dang, Yazheng ^{[1
]}

机构：

[1] Jilin Univ, Coll Comp Sci & Technol, 2699 Qianjin St, Changchun 130012, Peoples R China

[2] Henan Polytech Univ, Coll Comp Sci & Technol, 2001 Century Ave, Jiaozuo 454003, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2021年 / 2021卷

基金：

中国国家自然科学基金;

关键词：

CQ ALGORITHM;

D O I：

10.1155/2021/9974351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose an iterative scheme for a special split feasibility problem with the maximal monotone operator and fixed-point problem in Banach spaces. The algorithm implements Halpern's iteration with an inertial technique for the problem. Under some mild assumption of the monotonicity of the related mapping, we establish the strong convergence of the sequence generated by the algorithm which does not require the spectral radius of ATA. Finally, the numerical example is presented to demonstrate the efficiency of the algorithm.

引用

页数：12

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