文献类型：会议论文

英文题名：Equivalence of Modified Mann and Multi-step Noor Iteration Methods with Errors

作者：Ni, Ren-Xing[1]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

会议论文集：International Conference on Computational Intelligence and Natural Computing

会议日期：JUN 06-07, 2009

会议地点：Wuhan, PEOPLES R CHINA

语种：英文

外文关键词：equivalence of the strong convergence; (modified) Mann iteration with errors; (modified) multi-step Noor iteration with errors; uniformlyLipschitztion; real Banach space

外文摘要：The equivalence of the strong convergence between the modified Mann and multi-step Noor iterations with errors is proved for uniformly Lipchitzian generalized strongly successively asymptotically Q-pseudocontractive operators in arbitrary real Banach space. These results generalize those recent ones due to Rhoades and Soltuz in 2003 and 2004 by extending to the more generalized modified multi-step Noor iterations with errors and the most general class of operators, and hence improve the corresponding results of the references given in this paper by providing the equivalences of convergence between all of these iteration schemes for any initial points x(1), u(1) in arbitrary real Banach space. Our proof methods are quite different and simple.