A new general iterative algorithm with Meir-Keeler contractions for variational inequality problems in q -uniformly smooth Banach spaces

Fixexd point theory and applications

Xin Wang¹  Jinlin Guan¹  Changsong Hu¹ 

[1] School of Mathematics and Statistics, Hubei Normal University, Huangshi, China

关键词: strong convergence;    iterative algorithm;    Meir-Keeler contractions;    fixed point;    k-strict pseudo-contractions;    Banach spaces;   

DOI  :  10.1186/1687-1812-2013-292

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we generalize the iterative scheme and extend the space studied in (Fixed Point Theory and Applications 2012:46, 2012). Further, we prove some strong convergence theorems of the new iterative scheme for variational inequality problems in q-uniformly smooth Banach spaces under very mild conditions. Our results improve and extend corresponding ones announced by many others. MSC:47H09, 47H10.

【 授权许可】

CC BY