Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization (Q2250112)
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| Language | Label | Description | Also known as |
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| English | Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization |
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Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization (English)
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4 July 2014
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The authors introduce the second-order composed contingent derivative for set-valued maps and extend the Lagrange multiplier rule together with the Kurcyusz-Robinson-Zowe regularity assumption to constrained set-valued optimization programs in the second-order case. One obtains a new second-order Karush-Kuhn-Tucker optimality condition for set-valued optimization problems with feasible sets determined by generalized second-order Kurcyusz-Robinson-Zowe regularity conditions.
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set-valued optimization
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second-order composed contingent derivative
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Lagrange multiplier rule
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Karush-Kuhn-Tucker optimality condition
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