文献类型：会议论文

英文题名：The Equivalence of the Convergence between Modified Mann-Ishikawa and Multi-step Noor Iterations with Errors

作者：Ni, Ren-Xing[1]

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

会议论文集：2nd International Conference on Modelling and Simulation

会议日期：MAY 21-22, 2009

会议地点：Manchester, ENGLAND

语种：英文

外文关键词：equivalence of the convergence; strongly success-ively pseudo-contractive map; (modified) Mann and Ishikawa iteration with errors; (modified) multi-step Noor iteration with errors; (uniformly) Lipschitztion; real Banach space

外文摘要：The equivalence of the convergence between the modified Mann-Ishikawa and multi-step Noor iterations with errors is proved for uniformly Lipchitzian strongly successively pseudo-contractive operators in arbitrary real Banach space. These results generalize those recent due to Rhoades and Soltuz by extending to the more generalized multi-step Noor iterations with errors and hence improve the corresponding results of all the references in bibliography providing the equivalences of convergence between all of these up-to-date iteration schemes. These results are different from those recent due to Huang, Bu and Noor in 2006, and our proof methods are quite different and simple.