两族渐近非扩张映射隐迭代序列收敛定理  

Convergence Theorems for an Implicit Iteration Process of Two Finite Families of Asymptotically Nonexpansive Mappings

作　　者：宋传静[1] 吴健荣[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215011

出　　处：《华南师范大学学报（自然科学版）》2013年第1期27-31,共5页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(10972151);江苏省研究生培养创新工程项目(CXZZ11_0950);苏州科技学院研究生科研创新计划(SKCX11S_054)

摘　　要：研究一致凸Banach空间中两族渐近非扩张映射的公共不动点逼近问题.构造关于两族渐近非扩张映射的隐迭代序列,并在适当条件下,证明了该序列收敛到公共不动点的一些强弱收敛定理.The common fixed points of two finite families of asymptotically nonexpansive mappings are studied in re- al uniformly convex Banach spaces. An implicit iteration process defined by two finite families of asymptotically nonexpansive mappings is introduced. And some strong and weak convergence theorems to a common fixed point for this scheme are proved.

关 键 词：一致凸BANACH空间 渐近非扩张映射 隐迭代序列 公共不动点 

分 类 号：O177[理学—数学]