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Local cone approximations in mathematical programming |
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| Authors: | M. Castellani M. Giuli S. Nobakhtian M. Pappalardo |
| Affiliation: | 1. Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, L’Aquila, Italy.marco.castellani@univaq.it;3. Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, L’Aquila, Italy.;4. Department of Mathematics, University of Isfahan, Isfahan, Iran.;5. Department of Computer Science, University of Pisa, Pisa, Italy. |
| Abstract: | We show how to use intensively local cone approximations to obtain results in some fields of optimization theory as optimality conditions, constraint qualifications, mean value theorems and error bound. |
| Keywords: | local cone approximations directional K-epiderivatives optimality conditions mean value theorem error bound |