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Two main results of necessary conditions of optimality for two kinds of problems, bilevel optimization and quasidifferentiable MPEC, are presented via Devyanov sum of quasidifferentials. Lagrange multipliers are independent of the choices of quasidifferentials and supergradients. |
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Keywords:Nonsmooth optimization, quasidifferentiable function, quasidifferentiable optimization, bilevel optimization, MPEC, Demyanov difference(sum), optimality conditions |
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