On Ekeland’s Variational Principle for Pareto Minima of Set-Valued Mappings |
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| Authors: | P Q Khanh D N Quy |
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| Institution: | 1.Department of Mathematics,International University of Hochiminh City,Hochiminh City,Vietnam;2.Department of Mathematics, College of Sciences,Cantho University,Cantho,Vietnam |
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| 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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| Keywords: | |
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