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

被引:0
作者
Jinlin Guan
Changsong Hu
Xin Wang
机构
[1] Hubei Normal University,School of Mathematics and Statistics
来源
Fixed Point Theory and Applications | / 2013卷
关键词
strong convergence; iterative algorithm; Meir-Keeler contractions; fixed point; -strict pseudo-contractions; Banach spaces;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
相关论文
共 30 条
[1]  
Moudafi A(2000)Viscosity approximation methods for fixed-points problems J. Math. Anal. Appl 241 46-55
[2]  
Banach S(1922)Sur les operations dans les ensembles abstraits et leur application aux equations integrales Fundam. Math 3 133-181
[3]  
Meir A(1969)A theorem on contraction mappings J. Math. Anal. Appl 28 326-329
[4]  
Keeler E(2009)Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces Math. Nachr 282 1827-1835
[5]  
Yao Y(2004)Viscosity approximation methods for nonexpansive mappings J. Math. Anal. Appl 298 279-291
[6]  
Liou YC(2010)Modified extragradient methods for a system of variational inequalities in Banach spaces Acta Appl. Math 110 1211-1224
[7]  
Chen R(2011)Strong convergence of an iterative algorithm for variational inequalities in Banach spaces Math. Comput. Model 54 325-329
[8]  
Xu HK(2008)Strong convergence and certain control conditions for modified Mann iteration Nonlinear Anal 68 1687-1693
[9]  
Yao Y(2008)Convergence theorems of fixed points for k-strict pseudo-contractions in Hilbert space Nonlinear Anal 69 456-462
[10]  
Yao Y(2009)Strong convergence theorems of modified Mann iterative process for strict pseudocontractions in Hilbert spaces Nonlinear Anal 70 1257-1264