{"title":"一类拟压缩算子的Picard、Mann和Ishikawa迭代的等价性","authors":"J. Olaleru","doi":"10.4314/JONAMP.V11I1.40194","DOIUrl":null,"url":null,"abstract":"We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp. 51-56","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"482 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"On the equivalence of Picard, Mann and Ishikawa iterations for a class of quasi-contractive operators\",\"authors\":\"J. Olaleru\",\"doi\":\"10.4314/JONAMP.V11I1.40194\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp. 51-56\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"482 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40194\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40194","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the equivalence of Picard, Mann and Ishikawa iterations for a class of quasi-contractive operators
We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp. 51-56
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