Banach空间中φ-渐进非扩展映像不动点的迭代构造  

Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space

作　　者：管维荣[1] 周海云[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《应用泛函分析学报》2008年第1期65-70,共6页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10471033)

摘　　要：在Mann的迭代算法基础上,运用Banach空间中的广义投影,使渐进非扩展映像每次迭代生成的序列都投影到一个闭凸的集合中.并证明了该算法的强收敛性.Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.

关 键 词：渐进非扩展映像 不动点 BANACH空间 广义投影 

分 类 号：O177.91[理学—数学]