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S-convexity: the variable radius case

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dc.contributor.author Nour, Chadi
dc.contributor.author Takche, Jean
dc.date.accessioned 2023-05-03T12:32:37Z
dc.date.available 2023-05-03T12:32:37Z
dc.date.copyright 2022 en_US
dc.date.issued 2022
dc.identifier.issn 0944-6532 en_US
dc.identifier.uri http://hdl.handle.net/10725/14656
dc.description.abstract We generalize, to the variable radius case, the main results contained in a recent paper of the authors [A new class of sets regularity, J. Convex Analysis 25/4 (2018) 1059--1074], where a new regularity class, called S-convexity, is studied and shown to cover well-known regularity properties, including ϕ0-convexity, θ0-exterior sphere condition, and &psi0-union of closed balls property. Furthermore, we provide using S-convexity, new additional characterizations of the variable and the constant radius form of these three regularity properties. en_US
dc.language.iso en en_US
dc.title S-convexity: the variable radius case en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 200502681 en_US
dc.author.idnumber 198790400 en_US
dc.author.department Computer Science And Mathematics en_US
dc.relation.journal Journal of Convex Analysis en_US
dc.journal.volume 29 en_US
dc.journal.issue 4 en_US
dc.article.pages 1167-1192 en_US
dc.keywords S-convexity en_US
dc.keywords Phi-convexity en_US
dc.keywords Theta-exterior sphere condition en_US
dc.keywords Psi-union of closed balls property en_US
dc.keywords Proximal analysis en_US
dc.keywords Nonsmooth analysis en_US
dc.identifier.ctation Nour, C., & Takche, J. (2022). S-Convexity: The Variable Radius Case. Journal of Convex Analysis, 29(4), 1167-1192. en_US
dc.author.email chadi.nour@lau.edu.lb en_US
dc.author.email jtakchi@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://www.heldermann.de/JCA/JCA29/JCA294/jca29065.htm en_US
dc.orcid.id https://orcid.org/0000-0003-4378-7459 en_US
dc.orcid.id https://orcid.org/0000-0003-3328-8330 en_US
dc.author.affiliation Lebanese American University en_US


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