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Level sets regularization with application to optimization problems

dc.creatorBarro, Moussa
dc.creatorTraoré, Sado
dc.date2020-04-18
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2260
dc.identifier10.4067/S0719-06462020000100137
dc.descriptionGiven a coupling function \(c\) and a non empty subset of ℝ, we define a closure operator. We are interested in extended real-valued functions  whose  sub-level sets are closed for this operator.  Since  this class of functions is closed under pointwise suprema, we introduce a regularization for  extended real-valued functions. By decomposition of the  closure operator using polarity scheme, we recover the  regularization by bi-conjugation. We apply our results to derive a strong duality for a minimization problem.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/2260/1943
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 22 No. 1 (2020); 137–154en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 22 Núm. 1 (2020); 137–154es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectDualityen-US
dc.subjectregularizationen-US
dc.subjectlevel setsen-US
dc.subjectc-elementary functionsen-US
dc.subjectpolarityen-US
dc.subjectconjugacyen-US
dc.titleLevel sets regularization with application to optimization problemsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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