渐近非扩张映像公共不动点复合隐格式迭代算法  

Composite Implicit Iteration Processes for Common Fixed Points of a Finite Family of Asymptotically Nonexpansive Mappings

作　　者：陆爱霞[1] 丛翠[2] 苏永福[3] 

机构地区：[1]渤海石油职业学院数信系,河北任丘062552 [2]上海大学理学院数学系,上海200436 [3]天津工业大学理学院数学系,天津300160

出　　处：《沧州师范学院学报》2006年第4期34-38,共5页Journal of Cangzhou Normal University

摘　　要：提出了Banach空间中渐近非扩张映像族{Ti}Ni=1公共不动点复合隐迭代格式:xn=anxn-1+(-an)Tnnyn,yn=βxn-1+(1-bn)Tnnxn,其中Tn=TnmodN,证明了弱收敛和强收敛定理,其结果推广和改进了Xu和Ori(2001),Oilike(2004),周海云和张石生教授(2002)及其他作者的结果。：This paper introduce the following composite implicit iteration schemes：{^xn=αnxn-1＋（1-αn）T^nnyn yn=βnxn-1＋（1-βn）T^nnxn where Tn=Tn mod N, for common flxcd points of a finite family of asymptotically nonexpansive mappings {Ti}^Ni=i in Banach spaces. This paper also prove some weak and strong convergence theorems. The results presented in this paper extend, generalize and improve the results of Xu, Ori, Oilike ,Chang and other authors.

关 键 词：复合隐迭代 渐近非扩张 收敛 OPIAL条件 次闭原理 

分 类 号：O177.91[理学—数学]