一致凸Banach空间渐近非扩张映像Ishikawa迭代收敛定理  

Convergence Theorems of Ishikawa Iterative for Asymptotically Nonexpansive Mapping in a Uniformly Convex Banach Spaces

作　　者：顾光辉[1] 

机构地区：[1]沧州师专数学系,河北沧州061001

出　　处：《沧州师范学院学报》2004年第2期24-27,共4页Journal of Cangzhou Normal University

摘　　要：关于一致凸Banach空间中渐近非扩张映像的迭代收敛定理,刘启厚等推广了Jurgen schu的结果。得到了有界闭凸集上渐近非扩张映像Ishikawa迭代收敛定理。得到了闭凸集上渐近非扩张映像Ishikawa迭代收敛定理,并减弱了参数条件。The relative result of Jurgen schu is extended to a uniformly convex Banach space, and the convergence of iterative sequence in an uniformly convex Banach space for asymptotically nonexpanstive mapping is proved by Liu-Qi-hou and Li-Xia,T is asymptotically nonexpanstive mapping with sequence {Kn} in a bounded closed convex subset C of uniformly convex Banach space .In this paper, we let only C is closed convex subset of uniformly convex Banach space . But convergence theorms of iterative sequences for asymptotically nonexpanstive mapping was also proved.

关 键 词：一致凸BANACH空间 渐近非扩张映像 迭代收敛定理 ISHIKAWA 

分 类 号：O177.91[理学—数学]