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

P. Q. Khanh () and D. N. Quy ()
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P. Q. Khanh: International University of Hochiminh City
D. N. Quy: Cantho University

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 2, No 2, 280-297

Abstract: 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.

Keywords: Minimal elements; Ekeland’s variational principle; Weak τ-functions; K-lower semicontinuity; (k 0; K)-lower semicontinuity from above (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-011-9957-5

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