Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval

doi:10.1186/1029-242X-2013-269

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	Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval
	Dong,Qiao-Li 1,2; He,Songnian 1,2; Liu,Xiaoyan 3
	2013-05-30
发表期刊	Journal of Inequalities and Applications
ISSN	1029-242X
卷号	2013 期号:1
摘要	AbstractIn this paper, we relax the control condition of convergence of SP-iteration presented by Phuengrattana and Suantai (J. Comput. Appl. Math. 235:3006-3014, 2011). We compare the rate of convergence of Mann, Ishikawa and Noor iterations from another point of view and come to a different conclusion. Finally, we provide a numerical example for Ishikawa and Noor iterations, which supports our theoretical results.MSC:47H05, 47H07, 47H10.
关键词	continuous functions convergence theorem fixed point nondecreasing functions rate of convergence
DOI	10.1186/1029-242X-2013-269
语种	英语
WOS记录号	BMC:10.1186/1029-242X-2013-269
出版者	Springer International Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/291
专题	中国科学院数学与系统科学研究院
通讯作者	Dong,Qiao-Li
作者单位	1.College of Science, Civil Aviation University of China 2.Civil Aviation University of China; Tianjin Key Laboratory for Advanced Signal Processing 3.School of Information, Renmin University
推荐引用方式 GB/T 7714	Dong,Qiao-Li,He,Songnian,Liu,Xiaoyan. Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval[J]. Journal of Inequalities and Applications,2013,2013(1).
APA	Dong,Qiao-Li,He,Songnian,&Liu,Xiaoyan.(2013).Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval.Journal of Inequalities and Applications,2013(1).
MLA	Dong,Qiao-Li,et al."Rate of convergence of Mann, Ishikawa and Noor iterations for continuous functions on an arbitrary interval".Journal of Inequalities and Applications 2013.1(2013).