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New optimality conditions for bilevel programs by using an exact separation principle. (English) Zbl 07238345
Summary: In this paper, we are concerned with a bilevel optimization problem \((P)\). Reducing it into a one-level nonlinear and nonsmooth program using an exact separation theorem we give necessary optimality conditions in terms of Fréchet subdifferentials and Fréchet normal cones.
90C46 Optimality conditions and duality in mathematical programming
90C30 Nonlinear programming
Full Text: DOI
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