{"title":"渐近拟压缩映射Ishikawa迭代过程收敛的充要条件","authors":"Hongshan Du, Guanglan Wang","doi":"10.1109/CSO.2010.10","DOIUrl":null,"url":null,"abstract":"Using virtue of an inequality and some analysis techniques, we give a sufficiency and necessity condition on convergencon the modification Ishikawa iterative process with errors for uniformly asymptotically pseudocontractive mappings in Banach space, The results improve, extend, and include some recent results due to Zhang shi-sen Liu Q H etc.","PeriodicalId":427481,"journal":{"name":"2010 Third International Joint Conference on Computational Science and Optimization","volume":"34 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Sufficiency and Necessity Condition on Convergence of Ishikawa Iterative Process for Asymptotically Pseudocontractive Mapping\",\"authors\":\"Hongshan Du, Guanglan Wang\",\"doi\":\"10.1109/CSO.2010.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using virtue of an inequality and some analysis techniques, we give a sufficiency and necessity condition on convergencon the modification Ishikawa iterative process with errors for uniformly asymptotically pseudocontractive mappings in Banach space, The results improve, extend, and include some recent results due to Zhang shi-sen Liu Q H etc.\",\"PeriodicalId\":427481,\"journal\":{\"name\":\"2010 Third International Joint Conference on Computational Science and Optimization\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 Third International Joint Conference on Computational Science and Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CSO.2010.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 Third International Joint Conference on Computational Science and Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CSO.2010.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Sufficiency and Necessity Condition on Convergence of Ishikawa Iterative Process for Asymptotically Pseudocontractive Mapping
Using virtue of an inequality and some analysis techniques, we give a sufficiency and necessity condition on convergencon the modification Ishikawa iterative process with errors for uniformly asymptotically pseudocontractive mappings in Banach space, The results improve, extend, and include some recent results due to Zhang shi-sen Liu Q H etc.