On Ekeland’s Variational Principle for Pareto Minima of Set‐Valued Mappings

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Article ID:	iaor20123746
Volume:	153
Issue:	2
Start Page Number:	280
End Page Number:	297
Publication Date:	May 2012
Journal:	Journal of Optimization Theory and Applications
Authors:	Khanh P, Quy D
Keywords:	pareto-optimality, mapping

Abstract:

We propose relaxed lower semicontinuity properties for set‐valued mappings, using weak τ‐functions, and employ them to weaken known lower semicontinuity assumptions to get enhanced Ekeland’s variational principle for Pareto minimizers of set‐valued mappings and underlying minimal‐element principles. Our results improve and recover recent ones in the literature.

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