A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa's set approach (Q2304910)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa's set approach |
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A new concept of slope for set-valued maps and applications in set optimization studied with Kuroiwa's set approach (English)
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9 March 2020
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A new concept of slope for a set-valued map is proposed. The concept is introduced by using a scalarization function based in the Hiriart-Urruty signed distance function. Then, some properties of this slope for a set-valued map are studied, and an application in set optimization with the lower less order relation due to Kuroiwa is also given.
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set-valued maps
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slope of set-valued maps
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set optimization
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error bound
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lower set order relation
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Palais-Smale condition
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