Properly maximal points in product spaces

Properly maximal points in product spaces

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Article ID: iaor200934345
Country: United States
Volume: 31
Issue: 2
Start Page Number: 305
End Page Number: 315
Publication Date: May 2006
Journal: Mathematics of Operations Research
Authors: ,
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.

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