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
Banach空间无限族渐近非扩张映象黏性逼近法
Viscosity Approximation Method for Infinitely Many Asymptotically Nonexpansive Maps in Banach Spaces
投稿时间:2009-12-21  最后修改时间:2011-01-12
DOI:10.3770/j.issn:1000-341X.2011.04.022
中文关键词:  渐近非扩张映象  度规函数  弱连续对偶映象.
英文关键词:asymptotically nonexpansive mapping  Gauge function  weakly continuous duality map.
基金项目:
作者单位
饶若峰 宜宾学院数学系, 四川 宜宾 644007 
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中文摘要:
      本文利用黏性逼近法在具弱连续对偶映象的自反Banach空间获得了涉及无限族渐近非扩张映象的迭代算法的强收敛性结果, 推广改进了最近的一些结论.
英文摘要:
      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.
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