Enviar artigo por via de e-mail New approach to optimality conditions for degenerate nonlinear programming problems
- Autores: Brezhneva O.A.1, Tret’yakov A.A.2,3,4
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Afiliações:
- Department of Mathematics
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”
- System Research Institute
- University of Podlasie
- Edição: Volume 93, Nº 2 (2016)
- Páginas: 166-169
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223485
- DOI: https://doi.org/10.1134/S1064562416020125
- ID: 223485
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Resumo
In the work, a new approach to constructing optimality conditions for degenerate smooth optimization problems with inequality constraints is proposed. The approach is based on the theory of p-regularity. A special case of degeneracy, when the first derivatives of some function-constraints are equal to zero up to some order, is considered. Optimality conditions for the general case of degeneracy with p = 2 are presented. Proposed constructions and optimality conditions are illustrated by an example. A general case of degeneracy is considered and optimality conditions for the case of p ≥ 2 are proposed.
Sobre autores
O. Brezhneva
Department of Mathematics
Autor responsável pela correspondência
Email: brezhnoa@miamioh.edu
Estados Unidos da América, Oxford
A. Tret’yakov
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”; System Research Institute; University of Podlasie
Email: brezhnoa@miamioh.edu
Rússia, ul. Vavilova 40, Moscow, 119333; Warsaw; Siedlce
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