摘要
在Hilbert空间中,引入和研究了一种新的收缩投影迭代算法,用以逼近拟严格伪压缩映像的不动点.在适当的条件下,利用所提出的收缩投影算法证明了闭的拟严格伪压缩映像的不动点的强收敛定理,所得结果改进和推广了近期文献的相关结果.
The purpose of this paper is to propose a new shrinking projection method for quasi-strict pseudo- contractions and prove a strong convergence theorem for closed and quasi-strict pseudo-contractions in a Hilbert space. The results of this paper improve and extend some recent relative results.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第6期780-783,共4页
Journal of Sichuan Normal University(Natural Science)
基金
supported by the National Natural Science Foundation of China(10771050)
Scientific Research Program Fundedby Shaanxi Provincial Education Department(11JK0486)~~
关键词
收缩投影方法
闭映像
拟严格伪压缩映像
不动点
shrinking projection methods
closed mapping
quasi-strict pseudo-contraction
fixed point