Benson Proper Efficiency in Set-Valued Optimization on Real Linear Spaces

Elvira Hernández (), Bienvenido Jiménez () and Vicente Novo ()
Additional contact information
Elvira Hernández: Departamento de Matemática Aplicada
Bienvenido Jiménez: Universidad de Salamanca, Facultad de Economía y Empresa
Vicente Novo: Departamento de Matemática Aplicada

A chapter in Recent Advances in Optimization, 2006, pp 45-59 from Springer

Abstract: Summary 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.

Keywords: Vector Optimization; Topological Vector Space; Vector Optimization Problem; Topological Linear Space; Positive Linear Function (search for similar items in EconPapers)
Date: 2006
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-28258-7_4

Ordering information: This item can be ordered from
http://www.springer.com/9783540282587

DOI: 10.1007/3-540-28258-0_4

Access Statistics for this chapter

More chapters in Lecture Notes in Economics and Mathematical Systems from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().