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Banach空间中渐近拟非扩张映象收敛定理
引用本文:谢芳.Banach空间中渐近拟非扩张映象收敛定理[J].昆明师范高等专科学校学报,2002,24(4):20-23,30.
作者姓名:谢芳
作者单位:昆明师范高等专科学校数学系,云南昆明650091
摘    要:给出了Banach空间中具随机误差Ishikawa迭代序列收敛于渐近拟非扩张映象的不动点的新的充分和必要条件.推广和改进了Liu Q.的结果.

关 键 词:渐近拟非扩张映象  拟非扩张映象  渐近非扩张映象  随机误差  Ishikawa迭代序列

The Convergence Theorems of Fixed point for Asymptotically Quasi- Nonexpansive Mappings in Banach Space
XIE Fang.The Convergence Theorems of Fixed point for Asymptotically Quasi- Nonexpansive Mappings in Banach Space[J].Journal of Kunming Teachers College,2002,24(4):20-23,30.
Authors:XIE Fang
Abstract:In this paper, a new sufficient and necessary condition for Ishikawa iterative sequences with random error to converge to fixed points of asymptotically quasi-nonexpansive mappings is given. The paper extends and develops the results of Liu.
Keywords:asymptotically quasi - nonexpansive mappings  quasi - nonexpansive mappings  asymptotically nonexpan-sive mappings  ishikawa iterative sequence with random errors
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