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 Nonexpansive Mappings

作　　者：陆爱霞[1] 苏永福[2] 

机构地区：[1]渤海石油职业学院数信系,河北任丘062552 [2]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2期34-36,共3页Journal of Cangzhou Normal University

基　　金：天津市学科建设基金资助(100580204)

摘　　要：提出了Banach空间中非扩张映像族{Ti}iN=1公共不动点复合隐迭代格式:???xynn==αβnnxxn?n1++((11??βαnn))TTnnxynn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)及其他作者的结果。This paper introduce the following composite implicit iteration schemes：{xn=αnxn-1（1-αn）Tnyn yn=βnxn＋（1-βn）Tnxn where Tn = Tn mod N, for common fixed points of a finite family of nonexpansive mappings {Ti}i=1^N 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 and Ori, Oilike and other authors.

关 键 词：复合隐迭代 非扩张 收敛 OPIAL条件 次闭原理 

分 类 号：O177.91[理学—数学]