Three kinds of new hybrid projection methods for a finite family of quasi-asymptotically pseudocontractive mappings in Hilbert spaces

Fixexd point theory and applications

Yuanxing Liu¹  Liguo Zheng²  Haiyun Zhou³  Peiyuan Wang⁴ 

[1] College of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, China;Department of Mathematics and Information, Langfang Normal University, Langfang, China;Naval Aviation Institution, Huludao, China;Postdoctoral Workstation, Naval Equipment Institute, Beijing, China

关键词: a finite family of quasi-asymptotically pseudocontractive mapping;    uniformly L-Lipschitz mapping;    iterative algorithm;    strong convergence;    Hilbert space;    41A65;    47H17;    47J20;   

DOI  :  10.1186/s13663-015-0371-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In the present paper, we propose three kinds of new algorithms for a finite family of quasi-asymptotically pseudocontractive mappings in real Hilbert spaces. By using some new analysis techniques, we prove the strong convergence of the proposed algorithms. Some numerical examples are also included to illustrate the effectiveness of the proposed algorithms. The results presented in this paper are interesting extensions of those well-known results.

【 授权许可】

CC BY