Necessary conditions for continuous-time optimization under the Mangasarian–Fromovitz constraint qualification
| Autor: | Valeriano Antunes de Oliveira, Moisés Rodrigues Cirilo do Monte |
|---|---|
| Přispěvatelé: | Universidade Estadual Paulista (Unesp), Universidade Federal de Uberlândia (UFU) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Mathematical optimization
021103 operations research Control and Optimization constraint qualifications Applied Mathematics 0211 other engineering and technologies 90C30 02 engineering and technology Management Science and Operations Research necessary conditions First order 01 natural sciences 90C46 010101 applied mathematics Constraint (information theory) Nonlinear system Mangasarian–Fromovitz conditions Continuous-time programming 0101 mathematics Mathematics |
| Zdroj: | Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP |
| Popis: | Made available in DSpace on 2019-10-06T16:44:51Z (GMT). No. of bitstreams: 0 Previous issue date: 2019-01-01 In this paper, a Mangasarian–Fromovitz-type regularity condition is presented with the purpose of obtaining first order necessary optimality conditions for continuous-time nonlinear programming problems with both equality and inequality constraints. The Karush–Kuhn–Tucker-type optimality conditions are obtained by means of geometric ideas, where a theorem of the alternative and a uniform implicit function theorem are the main tools. Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática Aplicada, Câmpus de São José do Rio Preto Instituto de Ciências Exatas e Naturais do Pontal Universidade Federal de Uberlândia (UFU), Câmpus de Ituiutaba Universidade Estadual Paulista (Unesp) Instituto de Biociências Letras e Ciências Exatas Departamento de Matemática Aplicada, Câmpus de São José do Rio Preto |
| Databáze: | OpenAIRE |
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