Abstract
LetA n,n=1, 2, ... be nonempty subsets of a linear metric spaceE andC n, n=1, 2, ... convex cones ofE. We consider the efficient sets Min(A n, Cn) and the aim of this paper is to show that under suitable conditions, the convergence ofA n andC n toA andC respectively, implies the convergence of Min(A n,C n) to Min(A, C). Several illustrative examples are given which clarify the results.
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Luc, D.T., Lucchetti, R. & Maliverti, C. Convergence of the efficient sets. Set-Valued Anal 2, 207–218 (1994). https://doi.org/10.1007/BF01027102
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DOI: https://doi.org/10.1007/BF01027102