有限族渐近非扩张映像公共不动点显迭代逼近的弱和强收敛定理  

Weak and Strong Convergence of Non-implicit Composite Iteration for Common Fixed Points of a Finite Family of Asymptotically Nonexpansive Mappings

作　　者：谢润[1] 何庆高[1] 王雄瑞[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644007

出　　处：《信阳师范学院学报（自然科学版）》2010年第1期23-27,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10001048)

摘　　要：介绍了Banach空间中有限族渐近非扩张映像公共不动点的新显迭代逼近方法,并得到迭代序列的弱和强收敛定理.文中引进的序列为显迭代序列,改进了文献[1]的隐迭代序列形式.A new non-implicit composite iterative process was introduced,and weak and strong convergence theorems of the non-implicit iteration for a finite family of asymptotically nonexpansive mappings in Banach spaces,which extended Ref.[1] from implicit iteration to non-implicit iteration,was obtained.

关 键 词：不动点 BANACH空间 一致凸 有限族渐近非扩张映像 

分 类 号：O177.91[理学—数学]