{"title":"Projections Onto Super-Half-Spaces for Monotone Variational Inequality Problems in Finite-Dimensional Space.","authors":"Yair Censor, Aviv Gibali","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>The variational inequality problem (VIP) is considered here. We present a general algorithmic scheme which employs projections onto hyperplanes that separate balls from the feasible set of the VIP instead of projections onto the feasible set itself. Our algorithmic scheme includes the classical projection method and Fukushima's subgradient projection method as special cases.</p>","PeriodicalId":56124,"journal":{"name":"Journal of Nonlinear and Convex Analysis","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2008-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2836604/pdf/nihms152449.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear and Convex Analysis","FirstCategoryId":"100","ListUrlMain":"","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The variational inequality problem (VIP) is considered here. We present a general algorithmic scheme which employs projections onto hyperplanes that separate balls from the feasible set of the VIP instead of projections onto the feasible set itself. Our algorithmic scheme includes the classical projection method and Fukushima's subgradient projection method as special cases.
期刊介绍：
Journal of Nonlinear and Convex Analysis will publish carefully selected mathematical papers in nonlinear analysis and convexity theory. Papers submitted treating various aspectos of nonlinear analysis, fixed point theory, game theory, optimization, analysis of set-valued mappings, partial differential equations, convexity and applications to economics, mathematics of finance and engineering are particularly encouraged.
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