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GENERALIZED CONVEXITY FOR NON-REGULAR OPTIMIZATION PROBLEMS WITH CONIC CONSTRAINTS

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dc.creatorMARKO ANTONIO ROJAS MEDAR
dc.date2013
dc.date.accessioned2025-01-10T14:40:38Z
dc.date.available2025-01-10T14:40:38Z
dc.date.issued2013
dc.description.abstractIN NON-REGULAR PROBLEMS THE CLASSICAL OPTIMALITY CONDITIONS ARE TOTALLY INAPPLICABLE. MEANINGFUL RESULTS WERE OBTAINED FOR PROBLEMS WITH CONIC CONSTRAINTS BY IZMAILOV AND SOLODOV (SIAM J CONTROL OPTIM 40(4):1280?1295, 2001). THEY ARE BASED ON THE SO-CALLED 2-REGULARITY CONDITION OF THE CONSTRAINTS AT A FEASIBLE POINT. IT IS WELL KNOWN THAT GENERALIZED CONVEXITY NOTIONS PLAY A VERY IMPORTANT ROLE IN OPTIMIZATION FOR ESTABLISHING OPTIMALITY CONDITIONS. IN THIS PAPER WE GIVE THE CONCEPT OF KARUSH?KUHN?TUCKER POINT TO REWRITE THE NECESSARY OPTIMALITY CONDITION GIVEN IN IZMAILOV AND SOLODOV (SIAM J CONTROL OPTIM 40(4):1280?1295, 2001) AND THE APPROPRIATE GENERALIZED CONVEXITY NOTIONS TO SHOW THAT THE OPTIMALITY CONDITION IS BOTH NECESSARY AND SUFFICIENT TO CHARACTERIZE OPTIMAL SOLUTIONS SET FOR NON-REGULAR PROBLEMS WITH CONIC CONSTRAINTS. THE RESULTS THAT EXIST IN THE LITERATURE UP TO NOW, EVEN FOR THE REGULAR CASE, ARE PARTICULAR INSTANCES OF THE ONES PRESENTED HERE.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10898-012-9935-y
dc.identifier.issn1573-2916
dc.identifier.issn0925-5001
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8479
dc.languagespa
dc.publisherJOURNAL OF GLOBAL OPTIMIZATION
dc.relation.uri10.1007/s10898-012-9935-y
dc.rightsPUBLICADA
dc.subjectREGULARITY
dc.subjectOPTIMALITY CONDITIONS
dc.subjectGENERALIZED CONVEXITY
dc.subjectCONSTRAINTS QUALIFICATIONS
dc.titleGENERALIZED CONVEXITY FOR NON-REGULAR OPTIMIZATION PROBLEMS WITH CONIC CONSTRAINTS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
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