数学杂志2013，Vol.33Issue(1)：99-104,6.
Banach空间中非扩张映射不动点的粘性逼近方法
VISCOSITY APPROXIMATION METHODS FOR FIXED POINT OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
摘要
Abstract
In this article, we study the iterative method for approximating the fixed point of nonexpansive mappings. Based on the viscosity iterative scheme, strong convergence of the iterative sequence is obtained in a real Banach space with a uniformly Gateaux differentiable norm. Under some suitable conditions, we prove that the iterative sequence convergence strongly to the unique solution of a variational inequality, which extends the result of some literature .关键词
非扩张映射/不动点/粘性逼近方法/强收敛/变分不等式Key words
nonexpansive mappings/ fixed point/ viscosity approximation method/ strong convergence/ variational inequality分类
数理科学引用本文复制引用
唐艳..Banach空间中非扩张映射不动点的粘性逼近方法[J].数学杂志,2013,33(1):99-104,6.基金项目
国家自然科学基金项目(11001287) （11001287）
重庆市教委科技研究项目(KJ110701). （KJ110701）
