Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces

Fixexd point theory and applications

Hui-Ying Hu¹  Yan-Lai Song²  Chang-Song Hu²  Ya-Qin Wang²  Lu-Chuan Zeng³ 

[1] Department of Mathematics, Hubei Normal University, Hubei, China;Department of Mathematics, Shanghai Normal University, Shanghai, China;Department of Mathematics, Shaoxing University, Shaoxing, China

关键词: Hilbert space;    k-strict pseudo-contractions;    fixed point;    Meir-Keeler contractions;   

DOI  :  10.1186/1687-1812-2012-46

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10.

【 授权许可】

CC BY