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次渐近非扩张型映象不动点具外向型误差的迭代收敛性
引用本文:孙昭洪,何昌,倪永勤. 次渐近非扩张型映象不动点具外向型误差的迭代收敛性[J]. 四川大学学报(自然科学版), 2004, 41(2): 262-267
作者姓名:孙昭洪  何昌  倪永勤
作者单位:玉溪师范学院数学系,云南,玉溪,653100;大理学院数学系,云南,大理,671000;玉溪师范学院物理系,云南,玉溪,653100
基金项目:云南省自然科学基金(2002A0058M)
摘    要:在一致凸Banach空间中,给出了几个具外向型误差的次渐近非扩张型映象的不动点的迭代逼近定理,并给出了一种新的、更好的证明方法.所得定理改进和扩展了一些已有的结果.

关 键 词:次渐近非扩张型映象  外向型误差  Ishikawa迭代序列  一致凸性
文章编号:0490-6756(2004)02-0262-06

Iterative Convergence of Fixed Points for Minor Asymptotically Nonexpansive Type Mappings with External Error Member
SUN Zhao-Hong,HE Chang,NI Yong-Qin. Iterative Convergence of Fixed Points for Minor Asymptotically Nonexpansive Type Mappings with External Error Member[J]. Journal of Sichuan University (Natural Science Edition), 2004, 41(2): 262-267
Authors:SUN Zhao-Hong  HE Chang  NI Yong-Qin
Affiliation:SUN Zhao-Hong~1,HE Chang~2,NI Yong-Qin~3
Abstract:The authors obtained some iterative approximation theorems of fixed points for minor asymptotically nonexpansive mappings with external error member in uniformly convex Banach space, and proved these results by a new method. These results improved and extended some recent results.
Keywords:minor asymptotically nonexpansive type of mapping  external error member  Ishikawa iterative sequence  uniform convexity
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