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Banach空间无限族渐近非扩张映象黏性逼近法
引用本文:饶若峰.Banach空间无限族渐近非扩张映象黏性逼近法[J].数学研究及应用,2011,31(4):749-756.
作者姓名:饶若峰
作者单位:宜宾学院数学系, 四川 宜宾 644007
摘    要:In the framework of reflexive Banach spaces satisfying a weakly continuous duality map, the author uses the viscosity approximation method to obtain the strong convergence theorem for iterations with infinitely many asymptotically nonexpansive mappings. The main results obtained in this paper improve and extend some recent results.

关 键 词:asymptotically  nonexpansive  mapping  Gauge  function  weakly  continuous  duality  map.
收稿时间:2009/12/21 0:00:00
修稿时间:2011/1/12 0:00:00

Viscosity Approximation Method for Infinitely Many Asymptotically Nonexpansive Maps in Banach Spaces
Ruo Feng RAO.Viscosity Approximation Method for Infinitely Many Asymptotically Nonexpansive Maps in Banach Spaces[J].Journal of Mathematical Research with Applications,2011,31(4):749-756.
Authors:Ruo Feng RAO
Institution:Department of Mathematics, Yibin University, Sichuan, 644007, P.R.China
Abstract:In the framework of reflexive Banach spaces satisfying a weakly continuous duality map, the author uses the viscosity approximation method to obtain the strong convergence theorem for iterations with infinitely many asymptotically nonexpansive mappings. The main results obtained in this paper improve and extend some recent results.
Keywords:asymptotically nonexpansive  mapping  Gauge function  weakly continuous duality map  
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