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Erschienen in:
2006 | OriginalPaper | Buchkapitel
Benson Proper Efficiency in Set-Valued Optimization on Real Linear Spaces
verfasst von : Elvira Hernández, Bienvenido Jiménez, Vicente Novo
Erschienen in: Recent Advances in Optimization
Verlag: Springer Berlin Heidelberg
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In this work, a notion of cone-subconvexlikeness of set-valued maps on linear spaces is given and several characterizations are obtained. An alternative theorem is also established for this kind of set-valued maps. Using the notion of vector closure introduced recently by Adán and Novo, we also provide, in this framework, an adaptation of the proper efficiency in the sense of Benson for set-valued maps. The previous results are then applied to obtain different optimality conditions for this Benson-vectorial proper efficiency by using scalarization and multiplier rules.