α-Coupled Fixed Points and Their Application in Dynamic Programming
We introduce the definition of α-coupled fixed point in the space of the bounded functions on a set S and we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of sys...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/593645 |
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| _version_ | 1832554142682316800 |
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| author | J. Harjani J. Rocha K. Sadarangani |
| author_facet | J. Harjani J. Rocha K. Sadarangani |
| author_sort | J. Harjani |
| collection | DOAJ |
| description | We introduce the definition of α-coupled fixed point in the space of the bounded functions on a set S and we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming. |
| format | Article |
| id | doaj-art-3e0d433a0a204df8a5acc3b9e484c006 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3e0d433a0a204df8a5acc3b9e484c0062025-02-03T05:52:17ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/593645593645α-Coupled Fixed Points and Their Application in Dynamic ProgrammingJ. Harjani0J. Rocha1K. Sadarangani2Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainDepartamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, SpainWe introduce the definition of α-coupled fixed point in the space of the bounded functions on a set S and we present a result about the existence and uniqueness of such points. Moreover, as an application of our result, we study the problem of existence and uniqueness of solutions for a class of systems of functional equations arising in dynamic programming.http://dx.doi.org/10.1155/2014/593645 |
| spellingShingle | J. Harjani J. Rocha K. Sadarangani α-Coupled Fixed Points and Their Application in Dynamic Programming Abstract and Applied Analysis |
| title | α-Coupled Fixed Points and Their Application in Dynamic Programming |
| title_full | α-Coupled Fixed Points and Their Application in Dynamic Programming |
| title_fullStr | α-Coupled Fixed Points and Their Application in Dynamic Programming |
| title_full_unstemmed | α-Coupled Fixed Points and Their Application in Dynamic Programming |
| title_short | α-Coupled Fixed Points and Their Application in Dynamic Programming |
| title_sort | α coupled fixed points and their application in dynamic programming |
| url | http://dx.doi.org/10.1155/2014/593645 |
| work_keys_str_mv | AT jharjani acoupledfixedpointsandtheirapplicationindynamicprogramming AT jrocha acoupledfixedpointsandtheirapplicationindynamicprogramming AT ksadarangani acoupledfixedpointsandtheirapplicationindynamicprogramming |