{"title":"分割等式g−不动点问题的迭代算法","authors":"Getahun Bekele Wega","doi":"10.1016/j.jcmds.2022.100066","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of this study is to establish an iterative algorithm for approximating a solution of SEGFPP and prove strong convergence of the sequence generated by the proposed scheme to a solution of the problem in Banach spaces. In addition, we apply our result to find a solution of SEMPP and provide a numerical example to support our result. Our result generalize and extend many results in the literature.</p></div>","PeriodicalId":100768,"journal":{"name":"Journal of Computational Mathematics and Data Science","volume":"5 ","pages":"Article 100066"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2772415822000268/pdfft?md5=60cd2c78b050ba20591e6fe9e8594a8d&pid=1-s2.0-S2772415822000268-main.pdf","citationCount":"0","resultStr":"{\"title\":\"An iterative algorithm for split equality g−fixed point problem\",\"authors\":\"Getahun Bekele Wega\",\"doi\":\"10.1016/j.jcmds.2022.100066\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The purpose of this study is to establish an iterative algorithm for approximating a solution of SEGFPP and prove strong convergence of the sequence generated by the proposed scheme to a solution of the problem in Banach spaces. In addition, we apply our result to find a solution of SEMPP and provide a numerical example to support our result. Our result generalize and extend many results in the literature.</p></div>\",\"PeriodicalId\":100768,\"journal\":{\"name\":\"Journal of Computational Mathematics and Data Science\",\"volume\":\"5 \",\"pages\":\"Article 100066\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S2772415822000268/pdfft?md5=60cd2c78b050ba20591e6fe9e8594a8d&pid=1-s2.0-S2772415822000268-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational Mathematics and Data Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2772415822000268\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2022/11/8 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Mathematics and Data Science","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2772415822000268","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2022/11/8 0:00:00","PubModel":"Epub","JCR":"","JCRName":"","Score":null,"Total":0}
An iterative algorithm for split equality g−fixed point problem
The purpose of this study is to establish an iterative algorithm for approximating a solution of SEGFPP and prove strong convergence of the sequence generated by the proposed scheme to a solution of the problem in Banach spaces. In addition, we apply our result to find a solution of SEMPP and provide a numerical example to support our result. Our result generalize and extend many results in the literature.
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