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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/30878
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dc.contributor.authorHung, NC-
dc.contributor.authorChuong, TD-
dc.contributor.authorAnh, NLH-
dc.date.accessioned2025-03-04T18:19:53Z-
dc.date.available2025-03-04T18:19:53Z-
dc.date.issued2025-03-03-
dc.identifierORCiD: Thai Doan Chuong https://orcid.org/0000-0003-0893-5604-
dc.identifierArticle no. 18-
dc.identifier.citationHung, N.C., Chuong, T.D. and Anh, N.L.H. (2025) 'Solution Existence and Compactness Analysis for Nonsmooth Optimization Problems', Journal of Optimization Theory and Applications, 205 (1), 18, pp. 1 - 25. doi: 10.1007/s10957-025-02637-0.en_US
dc.identifier.issn0022-3239-
dc.identifier.urihttps://bura.brunel.ac.uk/handle/2438/30878-
dc.description.abstractThis paper is concerned with the analysis of geometrical properties and behaviors of the optimal value and global optimal solutions for a class of nonsmooth optimization problems. We provide conditions under which the solution set of a nonsmooth and nonconvex optimization problem is non-empty and/or compact. We also examine related properties such as the compactness of the sublevel sets, the boundedness from below and the coercivity of the objective function to characterize the non-emptiness and the compactness of the solution set of the underlying optimization problem under the unboundedness of its associated feasible set.en_US
dc.description.sponsorshipThis research is funded by Vietnam National University Ho Chi Minh City (VNU-HCM) under grant number T2025-18-01.en_US
dc.format.extent1 - 25-
dc.format.mediumPrint-Electronic-
dc.languageEnglish-
dc.language.isoen_USen_US
dc.publisherSpringer Natureen_US
dc.rightsAttribution 4.0 International-
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/-
dc.subjectsolution existenceen_US
dc.subjectlimiting subdifferentialen_US
dc.subjectnonsmooth optimizationen_US
dc.subjectcoercivityen_US
dc.subjectcompactnessen_US
dc.titleSolution Existence and Compactness Analysis for Nonsmooth Optimization Problemsen_US
dc.typeArticleen_US
dc.identifier.doihttps://doi.org/10.1007/s10957-025-02637-0-
dc.relation.isPartOfJournal of Optimization Theory and Applications-
pubs.issue1-
pubs.publication-statusPublished online-
pubs.volume205-
dc.identifier.eissn1573-2878-
dc.rights.licensehttps://creativecommons.org/licenses/by/4.0/legalcode.en-
dcterms.dateAccepted2025-02-09-
dc.rights.holderThe Author(s)-
Appears in Collections:Dept of Mathematics Research Papers

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