Necessary Optimality Conditions for Bilevel Optimization Problems Using Convexificators |
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| Authors: | H Babahadda N Gadhi |
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| Institution: | (1) Department of Mathematics, Dhar El Mehrez, Sidi Mohamed Ben Abdellah University, Fes, Morocco |
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| Abstract: | In this work, we use a notion of convexificator (Jeyakumar, V. and Luc, D.T. (1999), Journal of Optimization Theory and Applicatons,
101, 599–621.) to establish necessary optimality conditions for bilevel optimization problems. For this end, we introduce
an appropriate regularity condition to help us discern the Lagrange–Kuhn–Tucker multipliers. |
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| Keywords: | Bilevel optimization convexificator continuous functions Lagrange– Kuhn– Tucker multipliers necessary optimality conditions regularity condition |
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