{"title":"A general iterative algorithm for split variational inclusion problems and fixed point problems of a pseudocontractive mapping","authors":"Jong Soo, Jung","doi":"10.23952/jnfa.2022.13","DOIUrl":null,"url":null,"abstract":". In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of split variational inclusion problems and the fixed point set of a continuous pseudocontractive mapping. We establish strong convergence of the proposed iterative algorithm in a Hilbert space. We also find the minimum-norm element in the common set of two sets.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2022.13","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 3
Abstract
. In this paper, we introduce a general iterative algorithm based on the hybrid steepest descent method for finding a common element of the solution set of split variational inclusion problems and the fixed point set of a continuous pseudocontractive mapping. We establish strong convergence of the proposed iterative algorithm in a Hilbert space. We also find the minimum-norm element in the common set of two sets.
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.
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