{"title":"An approximate approach for solving fixed point and systems of variational inequality problems without certain constraints","authors":"","doi":"10.23952/jnfa.2023.24","DOIUrl":null,"url":null,"abstract":". This paper constructs a new iterative method for identifying a common solution of a general system of variational inequalities and a fixed point problem of a nonexpansive mapping. Furthermore, this paper establishes some necessary and sufficient conditions of strong convergence of iterative sequences without any assumption that the solution set of the problem is nonempty in Hilbert spaces. Finally, some applications and examples are provided to support the main results","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.2023.24","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: 0
Abstract
. This paper constructs a new iterative method for identifying a common solution of a general system of variational inequalities and a fixed point problem of a nonexpansive mapping. Furthermore, this paper establishes some necessary and sufficient conditions of strong convergence of iterative sequences without any assumption that the solution set of the problem is nonempty in Hilbert spaces. Finally, some applications and examples are provided to support the main results
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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