{"title":"巴拿赫空间新迭代法的收敛性、稳定性和数据依赖性结果","authors":"Omprakash Sahu, Amitabh Banerjee","doi":"10.21608/ejmaa.2024.253159.1103","DOIUrl":null,"url":null,"abstract":". In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of xed points of the Contractive-like mapping in the framework of uniformly convex Banach space.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"43 8","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space\",\"authors\":\"Omprakash Sahu, Amitabh Banerjee\",\"doi\":\"10.21608/ejmaa.2024.253159.1103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of xed points of the Contractive-like mapping in the framework of uniformly convex Banach space.\",\"PeriodicalId\":91074,\"journal\":{\"name\":\"Electronic journal of mathematical analysis and applications\",\"volume\":\"43 8\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic journal of mathematical analysis and applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/ejmaa.2024.253159.1103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic journal of mathematical analysis and applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/ejmaa.2024.253159.1103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space
. In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of xed points of the Contractive-like mapping in the framework of uniformly convex Banach space.
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