SEPARABLE CONDITIONS AND SCALARIZATION OF BENSON PROPER EFFICIENCY

Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valu...

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Veröffentlicht in:	Acta mathematica scientia 2010-07, Vol.30 (4), p.1154-1166
1. Verfasser:	丘京辉郝媛王璀
Format:	Artikel
Sprache:	eng
Schlagworte:	46A03 90C29 Benson proper efficiency Benson真有效性 Locally convex space nearly cone-subconvexlike set-valued map scalarization 凸集值映射可分条件可行集向量优化问题拉格朗日乘数标量化定理
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Zusammenfassung:	Under the assumption that the ordering cone has a nonempty interior and is separable （or the feasible set has a nonempty interior and is separable）, we give scalarization theorems on Benson proper effciency. Applying the results to vector optimization problems with nearly cone-subconvexlike set-valued maps, we obtain scalarization theorems and Lagrange multiplier theorems for Benson proper effcient solutions.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(10)60113-0