Publicación:
CHARACTERIZATION OF WEAKLY EFFICIENT SOLUTIONS FOR NONLINEAR MULTIOBJETIVE PROGRAMMING PROBLEMS. DUALITY

Vista sencilla de ítem
dc.creatorMARKO ANTONIO ROJAS MEDAR
dc.date2014
dc.date.accessioned2025-01-10T14:33:48Z
dc.date.available2025-01-10T14:33:48Z
dc.date.issued2014
dc.description.abstractCONVEXITY AND GENERALIZED CONVEXITY PLAY A CENTRAL ROLE IN MATHEMATICAL PROGRAMMING FOR DUALITY RESULTS AND IN ORDER TO CHARACTERIZE THE SOLUTIONS SET. IN THIS PAPER, TAKING IN MIND CRAVEN'S NOTION OF K-INVEXITY FUNCTION (WHEN K IS A CONE IN R-N) AND MARTIN'S NOTION OF KARUSH-KUHN-TUCKER INVEXITY (HEREAFTER KKT-INVEXITY), WE DEFINE NEW NOTIONS OF GENERALIZED CONVEXITY FOR A MULTIOBJECTIVE PROBLEM WITH CONIC CONSTRAINTS. THESE NEW NOTIONS ARE BOTH NECESSARY AND SUFFICIENT TO ENSURE EVERY KARUSH-KUHN-TUCKER POINT IS A SOLUTION. THE STUDY OF THE SOLUTIONS IS ALSO DONE THROUGH THE SOLUTIONS OF AN ASSOCIATED SCALAR PROBLEM. A MOND-WEIR TYPE DUAL PROBLEM IS FORMULATED AND WEAK AND STRONG DUALITY RESULTS ARE PROVIDED. THE NOTIONS AND RESULTS THAT EXIST IN THE LITERATURE UP TO NOW ARE PARTICULAR INSTANCES OF THE ONES PRESENTED HERE.
dc.formatapplication/pdf
dc.identifier.issn0944-6532
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7972
dc.languagespa
dc.publisherJOURNAL OF CONVEX ANALYSIS
dc.rightsPUBLICADA
dc.titleCHARACTERIZATION OF WEAKLY EFFICIENT SOLUTIONS FOR NONLINEAR MULTIOBJETIVE PROGRAMMING PROBLEMS. DUALITY
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE CIENCIAS BASICAS
ubb.SedeCHILLÁN
Archivos
Colecciones
Artículos científicos