On set containment characterizations for sets described by set-valued maps with applications (Q2302829)
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| Language | Label | Description | Also known as |
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| English | On set containment characterizations for sets described by set-valued maps with applications |
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On set containment characterizations for sets described by set-valued maps with applications (English)
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26 February 2020
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Dual characterizations of the containment of two sets defined by means of convex set-valued maps and convex cones are provided in terms of the epigraphs of conjugate functions of scalarization functions composed with the mentioned set-valued maps. Characterizations of weakly and properly efficient solutions of set-valued optimization problems are derived as applications of the main results. Several examples illustrate the theoretical results.
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set containment
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convexity of set-valued maps
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set-valued optimization
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optimality conditions
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