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Abstract cone approximations and generalized differentiability in nonsmooth optimization |
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| Abstract: | In the present paper a connection between cone approximations of sets and generalized differentiability notions will be given. Using both conceptions we present an approach to derive necessary optimality conditions for optimization problems with inequality constraints. Moreover, several constraint qualifications are proposed to get Kuhn-Tucker-type-conditions. |
| Keywords: | Nonsmooth optimization cone approximation generalized directional derivatives generalized subdifferentials necessary optimality conditions constraint qualifications |