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Second order optimality conditions for the extremal problem under inclusion constraints. (English) Zbl 1029.49014
Summary: We establish second order optimality conditions for the problem of minimizing a function \(f\) on the solution set of an inclusion \(0 \in F(x)\), where \(f\) and the support function of the set-valued map \(F\) have compact second order approximations at \(\bar x\) .

MSC:
49J52 Nonsmooth analysis
90C46 Optimality conditions and duality in mathematical programming
49J53 Set-valued and variational analysis
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