MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS
The aim of this work is to study the convergence of a extension of the proximal point method for minimizing a class of nonconvex functions on the nonnegative orthant and give some applications of the method in the solution of economics models which appears in microeconomy. The used procedures were t...
| Main Authors: | , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Nacional Mayor de San Marcos
2014-09-01
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| Series: | Pesquimat |
| Subjects: | |
| Online Access: | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9605 |
| _version_ | 1818950523142799360 |
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| author | Lucy Haydee De La Cruz Cuadros Erik Alex Papa Quiroz |
| author_facet | Lucy Haydee De La Cruz Cuadros Erik Alex Papa Quiroz |
| author_sort | Lucy Haydee De La Cruz Cuadros |
| collection | DOAJ |
| description | The aim of this work is to study the convergence of a extension of the proximal point method for minimizing a class of nonconvex functions on the nonnegative orthant and give some applications of the method in the solution of economics models which appears in microeconomy. The used procedures were the collection of information in scientific journals and specialized books, the study of the same and finally the use of mathematical tools to study the convergence of the sequence of the method. The results show that, under some appropriate assumptions, the iterations generated by the method are well defined and the sequence converges weakly to a KKT point. |
| first_indexed | 2024-12-20T09:19:56Z |
| format | Article |
| id | doaj.art-96fb9d41f19245cf97befb814570ab4d |
| institution | Directory Open Access Journal |
| issn | 1560-912X 1609-8439 |
| language | Spanish |
| last_indexed | 2024-12-20T09:19:56Z |
| publishDate | 2014-09-01 |
| publisher | Universidad Nacional Mayor de San Marcos |
| record_format | Article |
| series | Pesquimat |
| spelling | doaj.art-96fb9d41f19245cf97befb814570ab4d2022-12-21T19:45:19ZspaUniversidad Nacional Mayor de San MarcosPesquimat1560-912X1609-84392014-09-0115110.15381/pes.v15i1.96058584MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOSLucy Haydee De La Cruz Cuadros0Erik Alex Papa Quiroz1Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, Perú.Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, Perú.The aim of this work is to study the convergence of a extension of the proximal point method for minimizing a class of nonconvex functions on the nonnegative orthant and give some applications of the method in the solution of economics models which appears in microeconomy. The used procedures were the collection of information in scientific journals and specialized books, the study of the same and finally the use of mathematical tools to study the convergence of the sequence of the method. The results show that, under some appropriate assumptions, the iterations generated by the method are well defined and the sequence converges weakly to a KKT point.http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9605Métodos proximalesortante no negativodistancia generalizadafunciones no convexas. |
| spellingShingle | Lucy Haydee De La Cruz Cuadros Erik Alex Papa Quiroz MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS Pesquimat Métodos proximales ortante no negativo distancia generalizada funciones no convexas. |
| title | MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS |
| title_full | MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS |
| title_fullStr | MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS |
| title_full_unstemmed | MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS |
| title_short | MÉTODO DEL PUNTO PROXIMAL y SUS APLICACIÓN A MODELOS ECONÓMICOS |
| title_sort | metodo del punto proximal y sus aplicacion a modelos economicos |
| topic | Métodos proximales ortante no negativo distancia generalizada funciones no convexas. |
| url | http://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9605 |
| work_keys_str_mv | AT lucyhaydeedelacruzcuadros metododelpuntoproximalysusaplicacionamodeloseconomicos AT erikalexpapaquiroz metododelpuntoproximalysusaplicacionamodeloseconomicos |