{"title":"A descent-like method for fixed points and split conclusion problems","authors":"M. Shang","doi":"10.23952/jano.1.2019.1.08","DOIUrl":null,"url":null,"abstract":"In this paper, a descent-like method is introduced for solving a fixed point problem of a strict pseudocontraction and a split variational inclusion problem. A strong convergence theorem of common solutions is established in the framework of Hilbert spaces without any compact assumptions on any mapping.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Numerical Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jano.1.2019.1.08","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
In this paper, a descent-like method is introduced for solving a fixed point problem of a strict pseudocontraction and a split variational inclusion problem. A strong convergence theorem of common solutions is established in the framework of Hilbert spaces without any compact assumptions on any mapping.
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