| Duality Theorems of Multiobjective Programming for a Class of Generalized Convex Functions |
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| 作者姓名： | YINGYING WANG |
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| 作者单位： | YINGYING WANG(Dept. of Basic Courses，Jilin Institute of Architect and Civil Engineering，Changchun 130021)JIALI DONG(Dept. of Applied Mathematics，Jilin Universitg of Technolopy，Changchun 130025) |
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| 摘 要： | 1.DefinitionsDefinition1.AfunctionalF(x)inthespaceVCE"issaidtobeasublinearfunctionalifforx,yeV,andor20,Inparticular,F(0)=0.Letop(x)beadifferentiablerealfunctiononasetCCEd.ForagivensublinearfunctionFandafunctionp:CxC-EIIp(x,u)/0(x/u),themoregeneralgeneralizedconvexfunctioncanbedefinedasthefollwing:Definition2.op(x)issaidtobe(F,p)--invarialltconvexfunctiononCifforxl,xZECDefinition3.op(x)issaidtobe(F,P)--invariantquasiconvexfunctiononCifforal,xZECthatis,Definition4.op(x)issaidtobe(F,…
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Duality Theorems of Multiobjective Programming for a Class of Generalized Convex Functions |
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| YINGYING WANG.Duality Theorems of Multiobjective Programming for a Class of Generalized Convex Functions[J].OR Transactions,1998(4). |
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| Authors: | YINGYING WANG |
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| Abstract: | In this paper, a class of more general generalized convex functions: (F, p)-invariantconvexity functions, are defined. On the basis of defintions, we have constructed generalduality models (VD); discussed duality property of (VP) and (VD); proved weakly dualitytheorem, direct duality theorem and converse duality theorem. |
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| Keywords: | multiobjective programming duality property (F p)-invariant convexity function weakly duality theorem direct duality theorem converse duality theorem efficient solution |
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