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MAXIMIZING AND MINIMIZING QUASICONVEX FUNCTIONS: RELATED PROPERTIES, EXISTENCE AND OPTIMALITY CONDITIONS VIA RADIAL EPIDERIVATIVES

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dc.creatorFABIÁN ANDRÉS FLORES BERNALES
dc.creatorFERNANDO FLORES BAZÁN
dc.date2015
dc.date.accessioned2025-01-10T14:44:14Z
dc.date.available2025-01-10T14:44:14Z
dc.date.issued2015
dc.description.abstractTHIS PAPER DEALS WITH MAXIMIZATION AND MINIMIZATION OF QUASICONVEX FUNCTIONS IN A FINITE DIMENSIONAL SETTING. FIRSTLY, SOME EXISTENCE RESULTS ON CLOSED CONVEX SETS, POSSIBLY CONTAINING LINES, ARE PRESENTED. THIS IS GIVEN VIA A CAREFUL STUDY OF REDUCTION TO THE BOUNDARY AND/OR EXTREMALITY OF THE FEASIBLE SET. NECESSARY OR SUFFICIENT OPTIMALITY CONDITIONS ARE DERIVED IN TERMS OF RADIAL EPIDERIVATIVES. THEN, THE PROBLEM OF MINIMIZING QUASICONVEX FUNCTIONS ARE ANALYZED VIA ASYMPTOTIC ANALYSIS. FINALLY, SOME ATTEMPTS TO DEFINE ASYMPTOTIC FUNCTIONS UNDER QUASICONVEXITY ARE ALSO OUTLINED. SEVERAL EXAMPLES ILLUSTRATING THE APPLICABILITY OF OUR RESULTS ARE SHOWN.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10898-015-0267-6
dc.identifier.issn1573-2916
dc.identifier.issn0925-5001
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8745
dc.languagespa
dc.publisherJOURNAL OF GLOBAL OPTIMIZATION
dc.relation.uri10.1007/s10898-015-0267-6
dc.rightsPUBLICADA
dc.subjectRADIAL EPIDERIVATIVE
dc.subjectQUASICONVEXITY
dc.subjectMINIMIZATION PROBLEM
dc.subjectMAXIMIZATION PROBLEM
dc.subjectASYMPTOTIC FUNCTIONS.
dc.titleMAXIMIZING AND MINIMIZING QUASICONVEX FUNCTIONS: RELATED PROPERTIES, EXISTENCE AND OPTIMALITY CONDITIONS VIA RADIAL EPIDERIVATIVES
dc.title.alternativeMAXIMIZACIÓN Y MINIMIZACIÓN DE FUNCIONES CUASICONVEXAS: PROPIEDADES RELACIONADAS, EXISTENCIA Y CONDICIONES DE OPTIMALIDAD A TRAVÉS DE EPIDERIVADAS RADIALES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionRECTORIA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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