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一致凸Banach空间中渐近非扩张映射不动点的粘性逼近
引用本文:彭春,嵇伟民.一致凸Banach空间中渐近非扩张映射不动点的粘性逼近[J].大学数学,2010,26(5).
作者姓名:彭春  嵇伟民
基金项目:江苏省教育厅自然科学基金资助项目
摘    要:在一致凸并具有一致G可微范数的Banach空间中,研究一类渐近非扩张映象迭代序列的收敛性,给出强收敛定理.

关 键 词:粘性逼近方法  渐近非扩张映射  不动点  一致凸  一致G可微范数

Viscosity Approximation Methods of Fixed Point for Asymptotically Non-expansive Mapping Uniformly Convex Banach Spaces
PENG Chun,JI Wei-ming.Viscosity Approximation Methods of Fixed Point for Asymptotically Non-expansive Mapping Uniformly Convex Banach Spaces[J].College Mathematics,2010,26(5).
Authors:PENG Chun  JI Wei-ming
Abstract:The strong convergence of some iterative sequence for asymptotically nonexpansive mappings in real Banach spaces with a uniformly Gateaux differentiable norm and uniformly convex is studied,and the strong convergence theorem is given.
Keywords:viscosity aproximation methods  fixed point  asymptotically nonexpansive mapping  uniformly convex  uniformly Gateaux differentiable norm
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