{"title":"求解有向算子分裂共不动点问题的两步惯性自适应迭代算法","authors":"","doi":"10.23952/jnfa.2023.20","DOIUrl":null,"url":null,"abstract":". In this paper, we use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators in real Hilbert spaces. Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem. A numerical experiment is given to illustrate the efficiency of the proposed iterative algorithm.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators\",\"authors\":\"\",\"doi\":\"10.23952/jnfa.2023.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators in real Hilbert spaces. Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem. A numerical experiment is given to illustrate the efficiency of the proposed iterative algorithm.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jnfa.2023.20\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.20","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators
. In this paper, we use the dual variable to propose a two-step inertial adaptive iterative algorithm for solving the split common fixed point problem of directed operators in real Hilbert spaces. Under suitable conditions, we obtain the weak convergence of the proposed algorithm and give applications in the split feasibility problem. A numerical experiment is given to illustrate the efficiency of the proposed iterative algorithm.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.