{"title":"多集分割可行性问题的一种包含交替惯性技术的松弛CQ算法","authors":"Yaxuan Zhang, Li Yingying","doi":"10.23952/jnva.6.2022.4.02","DOIUrl":null,"url":null,"abstract":". In this paper, we present a relaxed CQ algorithm involving the Armijo-line search and the alternated inertial technique to solve the multiple-sets split feasibility problem in infinite dimensional real Hilbert spaces. We prove the convergence of the sequence generated by our method under some mild assumptions. Finally, numerical simulations show the efficiency of our algorithm.","PeriodicalId":48488,"journal":{"name":"Journal of Nonlinear and Variational Analysis","volume":"137 1","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A relaxed CQ algorithm involving the alternated inertial technique for the multiple-sets split feasibility problem\",\"authors\":\"Yaxuan Zhang, Li Yingying\",\"doi\":\"10.23952/jnva.6.2022.4.02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we present a relaxed CQ algorithm involving the Armijo-line search and the alternated inertial technique to solve the multiple-sets split feasibility problem in infinite dimensional real Hilbert spaces. We prove the convergence of the sequence generated by our method under some mild assumptions. Finally, numerical simulations show the efficiency of our algorithm.\",\"PeriodicalId\":48488,\"journal\":{\"name\":\"Journal of Nonlinear and Variational Analysis\",\"volume\":\"137 1\",\"pages\":\"\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear and Variational Analysis\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.23952/jnva.6.2022.4.02\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear and Variational Analysis","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.23952/jnva.6.2022.4.02","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
A relaxed CQ algorithm involving the alternated inertial technique for the multiple-sets split feasibility problem
. In this paper, we present a relaxed CQ algorithm involving the Armijo-line search and the alternated inertial technique to solve the multiple-sets split feasibility problem in infinite dimensional real Hilbert spaces. We prove the convergence of the sequence generated by our method under some mild assumptions. Finally, numerical simulations show the efficiency of our algorithm.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
