有限多个Lipschitz拟伪压缩映像公共不动点的迭代方法  

Iterative Method of Common Fixed Points for a Finite Family of Lipschitz Pseudo-Contractive Mappings

作　　者：刘立红[1] 冯光辉[1] 何江彦[1] 霍晓燕[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《军械工程学院学报》2015年第5期79-82,共4页Journal of Ordnance Engineering College

摘　　要：引入一种新的迭代算法,用以构造有限多个Lipschitz拟伪压缩映像的公共不动点,提出的迭代算法被证明依范数收敛于某个特定的公共不动点,所得结果改进并推广Zegeye等人的结果.In the present paper,a new iterative algorithm is introduced to construct common fixed points of a finite family of Lipschitz pseudo-contractive mappings.The algorithm proposed is proved to be strongly convergent to a specific common fixed point.The results obtained in the paper improve and extend the corresponding recent results by Zegeye.

关 键 词：拟伪压缩映像族 公共不动点 迭代算法 强收敛 

分 类 号：O177.91[理学—数学]