{"title":"Relations Between Various Types of Suns in Asymmetric Spaces","authors":"I.G. Tsarkov","doi":"10.1134/S1061920824030166","DOIUrl":null,"url":null,"abstract":"<p> Left and right-inverse <span>\\(\\delta\\)</span>-suns and left and right <span>\\(\\gamma\\)</span>-suns are studied in asymmetric spaces. Sufficient conditions for the existence of best approximation and solarity of sets are obtained in the uniformly convex asymmetric spaces. </p><p> <b> DOI</b> 10.1134/S1061920824030166 </p>","PeriodicalId":763,"journal":{"name":"Russian Journal of Mathematical Physics","volume":"31 3","pages":"562 - 567"},"PeriodicalIF":1.7000,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Journal of Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1061920824030166","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
引用次数: 0
Abstract
Left and right-inverse \(\delta\)-suns and left and right \(\gamma\)-suns are studied in asymmetric spaces. Sufficient conditions for the existence of best approximation and solarity of sets are obtained in the uniformly convex asymmetric spaces.
期刊介绍：
Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.
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