赋范线性空间中渐近伪压缩映象的不动点迭代逼近被引量：12

Iterative Approximations of Fixed Points for Asymptotically Pseudo-contractive Mappings in Normed Linear Spaces

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摘要研究了赋范线性空间中渐近非扩张映象和渐近伪压缩映象不动点的迭代逼近问题,所得结果改进和推广了已有的一些结果. In this paper, the iterative approximation problems of fixed points are studied for asymptotically nonexpansive mappings and asymptotically pseudo-contractive mappings in normed linear spaces. The results of this paper improve and extend some recent corresponding results.

作者唐玉超刘理蔚

机构地区南昌大学数学系

出处《应用数学学报》 CSCD 北大核心 2007年第5期810-815,共6页 Acta Mathematicae Applicatae Sinica

基金国家自然科学基金(10561007) 江西省自然科学基金(041 1036)资助项目.

关键词渐近非扩张映象渐近伪压缩映象修改的Ishikawa迭代序列不动点 asymptotically nonexpansive mapping asymptotically pseudo-contractive mapping modified Ishikawa iterative sequence fixed points

分类号 O177.91 [理学—基础数学]

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参考文献4

1胡良根,刘理蔚.Banach空间中p-严格渐近伪压缩映象的收敛性问题[J].应用泛函分析学报,2004,6(2):132-139. 被引量：10
2张石生.Banach空间中渐近非扩张映象不动点的迭代逼近问题[J].应用数学学报,2001,24(2):236-241. 被引量：55
3谷峰,堵秀凤.赋范空间中渐近伪压缩映象不动点的迭代逼近(英文)[J].应用泛函分析学报,2003,5(2):125-131. 被引量：6
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