摘要
在Hilbert空间中建立了一个逼近连续伪压缩映象不动点的广义迭代逼近方法,并在一定条件下证明了由该方法所产生的序列强收敛到伪压缩映象的某个不动点.
A general approximation methods is proposed for finding a fixed point of a continuous pseudo-contractive mapping,which strong convergence theorems are proved under some suitable conditions.The results presented in this paper can be considered as an extension and improvement of some previously known results.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2014年第2期22-26,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11001287)
重庆市自然科学基金项目(CSTC2012jjA00039
CSTC2013jcyjA00031)
重庆市教委科技研究项目(KJ130712
KJ130731)
关键词
伪压缩映象
不动点
强正算子
广义迭代
变分不等式
pseudo-contractive mapping
fixed point
strongly positive operator
general iteration
varia-tional inequality