渐近非扩张映像族公共不动点具误差一般复合隐格式迭代算法  

General Composite Implicit Iteration Processes with Errors for Common Fixed Points of a Finite Family of Nonexpansive Mappings

作　　者：郭金题[1] 陆爱霞[2] 

机构地区：[1]河北经贸大学数学与统计学学院,河北石家庄050061 [2]渤海石油职业学院数学与信息科学系,河北任丘062552

出　　处：《河北师范大学学报（自然科学版）》2007年第2期167-170,176,共5页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(10471033)

摘　　要：提出了Banach空间中非扩张映像族{Ti}iN=1公共不动点具误差的广义复合隐迭代格式:xn=αnxn-1+βnTnyn+γnun,yn=wnxn-1+snTnxn+tnTnxn-1,αn+βn+γn=wn+sn+tn=1.其中:{αn},{βn},{γn},{wn},{sn},{tn}∈[0,1];Tn=TnmodN.证明了弱收敛及强收敛定理,其结果扩展及推广了已有结果.The following general composite implicit iteration schemes with errors{xn=αnxn-1＋βnTnyn＋γnun,yn=wnxn-1＋snTnxn＋tnTnxn-1,αn＋βn＋γn=wn＋sn＋tx=1. is introduced, where {αn},{βn},{γn},{wn},{sn},{tn}∈[0,1];Tn=TnmodN ,for common fixed points of a finite family of nonexpansive mappings {Ti}i=1N in Banach spaces. The results presented extend, generalize and improve the results of predecessors.

关 键 词：复合隐迭代 非扩张映像 弱收敛 强收敛 OPIAL条件 次闭原理 

分 类 号：O177.91[理学—数学]