Convex Optimization on Mixed Domains
| dc.contributor.author | Adıvar, Murat | |
| dc.contributor.author | Fang, Shu-Cherng | |
| dc.date.accessioned | 2023-06-16T14:46:38Z | |
| dc.date.available | 2023-06-16T14:46:38Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | This paper aims to study convex analysis on some generalized domains, in particular, the domain of the product of closed subsets of reals. We introduce the basic concepts and derive analytic properties regarding convex subsets of mixed domains and convex functions defined on convex sets in mixed domains. The results obtained may open an avenue for modeling and solving a new type of optimization problems that involve both discrete and continuous variables at the same time. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey; US National Science Foundation [DMI-0553310] | en_US |
| dc.description.sponsorship | This work was supported by The Scientific and Technological Research Council of Turkey and The US National Science Foundation Grant #DMI-0553310. | en_US |
| dc.identifier.doi | 10.3934/jimo.2012.8.189 | |
| dc.identifier.issn | 1547-5816 | |
| dc.identifier.issn | 1553-166X | |
| dc.identifier.scopus | 2-s2.0-84855521717 | |
| dc.identifier.uri | https://doi.org/10.3934/jimo.2012.8.189 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14365/2615 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Inst Mathematical Sciences-Aims | en_US |
| dc.relation.ispartof | Journal of Industrıal And Management Optımızatıon | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Continuous optimization | en_US |
| dc.subject | convexity | en_US |
| dc.subject | convex optimization | en_US |
| dc.subject | discrete optimization | en_US |
| dc.subject | generalized convexity | en_US |
| dc.subject | subgradient | en_US |
| dc.subject | time scales | en_US |
| dc.subject | Dynamic Equations | en_US |
| dc.subject | Time Scales | en_US |
| dc.subject | Existence | en_US |
| dc.title | Convex Optimization on Mixed Domains | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | ADIVAR, Murat/0000-0002-9707-2005 | |
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| gdc.author.wosid | ADIVAR, Murat/N-3430-2018 | |
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| gdc.coar.access | open access | |
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| gdc.description.department | İzmir Ekonomi Üniversitesi | en_US |
| gdc.description.departmenttemp | [Adıvar, Murat] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey; [Fang, Shu-Cherng] N Carolina State Univ, Dept Ind & Syst Engn, Raleigh, NC 27695 USA | en_US |
| gdc.description.endpage | 227 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 189 | en_US |
| gdc.description.volume | 8 | en_US |
| gdc.description.wosquality | Q2 | |
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| gdc.oaire.keywords | generalized convexity | |
| gdc.oaire.keywords | Convex programming | |
| gdc.oaire.keywords | convex optimization | |
| gdc.oaire.keywords | convexity | |
| gdc.oaire.keywords | time scales | |
| gdc.oaire.keywords | continuous optimization | |
| gdc.oaire.keywords | subgradient | |
| gdc.oaire.keywords | Numerical mathematical programming methods | |
| gdc.oaire.keywords | Nonlinear programming | |
| gdc.oaire.keywords | Optimization problems in thermodynamics and heat transfer | |
| gdc.oaire.keywords | discrete optimization | |
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| gdc.virtual.author | Adivar, Murat | |
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