Some remarks on existence theorems for Pareto problems. (English) Zbl 0735.90057
The authors define a special type of Pareto infimum for which they prove an existence result. Using an appropriate concept of lower semicontinuity with respect to a closed convex bidually pointed cone for an extended- valued application having the range in a countably separated Banach space and a corresponding compactness condition one obtains that all Pareto infima are assumed.
Reviewer: V.Postolică (Piatra Neamt)