{"title":"广义非线性算子的不动点结果与收敛分析","authors":"Ravi Parkash Bhokal, Manoj Kumar, Ashish Kumar","doi":"10.9734/arjom/2023/v19i11756","DOIUrl":null,"url":null,"abstract":"The purpose of this research article is to introduce a new iteration scheme and to prove J-iterationconvergence and stability results for it. We also claim the newly introduced iterative scheme has better efficiency than some of the existing iterations in the literature. Our claim is supported by numerical example.","PeriodicalId":281529,"journal":{"name":"Asian Research Journal of Mathematics","volume":"59 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Results for Generalized Non-linear Operators with Convergence Analysis\",\"authors\":\"Ravi Parkash Bhokal, Manoj Kumar, Ashish Kumar\",\"doi\":\"10.9734/arjom/2023/v19i11756\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of this research article is to introduce a new iteration scheme and to prove J-iterationconvergence and stability results for it. We also claim the newly introduced iterative scheme has better efficiency than some of the existing iterations in the literature. Our claim is supported by numerical example.\",\"PeriodicalId\":281529,\"journal\":{\"name\":\"Asian Research Journal of Mathematics\",\"volume\":\"59 9\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Research Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/arjom/2023/v19i11756\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Research Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/arjom/2023/v19i11756","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fixed Point Results for Generalized Non-linear Operators with Convergence Analysis
The purpose of this research article is to introduce a new iteration scheme and to prove J-iterationconvergence and stability results for it. We also claim the newly introduced iterative scheme has better efficiency than some of the existing iterations in the literature. Our claim is supported by numerical example.