Properly Maximal Points in Product Spaces

Authors:
Angelo Guerraggio;Dinh The Luc
Affiliations:
PRISTEM, University of Bocconi, via Sarfatti 25, 20136 Milano, Italy;Department of Mathematics, University of Avignon, 33 Rue Louis Pasteur, 84000 Avignon, France
Venue:
Mathematics of Operations Research
Year:
2006

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Abstract

We study maximal points in a locally convex space partially ordered by a convex cone with a bounded base. Properly maximal points are defined and compared with other concepts of efficiency. Existence and density theorems are given which unify and generalize several results known in recent literature. Particular attention is paid on properly maximal points in a product space which has an interesting application in obtaining a multiplier rule for convex set-valued problems in a general setting.