On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces
A set of np(≥2)-cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping of interest. The existence and uniqueness of fixed points and the existence...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/568072 |
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| _version_ | 1832564793080283136 |
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| author | M. De la Sen |
| author_facet | M. De la Sen |
| author_sort | M. De la Sen |
| collection | DOAJ |
| description | A set of np(≥2)-cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping of interest. The existence and uniqueness of fixed points and the existence of best proximity points, in the case that the subsets do not intersect, of such composed mappings are investigated by stating and proving ad hoc extensions of several Krasnoselskii-type theorems. |
| format | Article |
| id | doaj-art-ffa9a16ddd4b4b2a880e86870a0aebe2 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ffa9a16ddd4b4b2a880e86870a0aebe22025-02-03T01:10:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/568072568072On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach SpacesM. De la Sen0Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus de Bizkaia, P.O. Box 644, 48080 Bilbao, SpainA set of np(≥2)-cyclic and either continuous or contractive self-mappings, with at least one of them being contractive, which are defined on a set of subsets of a Banach space, are considered to build a composed self-mapping of interest. The existence and uniqueness of fixed points and the existence of best proximity points, in the case that the subsets do not intersect, of such composed mappings are investigated by stating and proving ad hoc extensions of several Krasnoselskii-type theorems.http://dx.doi.org/10.1155/2011/568072 |
| spellingShingle | M. De la Sen On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces Discrete Dynamics in Nature and Society |
| title | On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces |
| title_full | On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces |
| title_fullStr | On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces |
| title_full_unstemmed | On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces |
| title_short | On the Extensions of Krasnoselskii-Type Theorems to p-Cyclic Self-Mappings in Banach Spaces |
| title_sort | on the extensions of krasnoselskii type theorems to p cyclic self mappings in banach spaces |
| url | http://dx.doi.org/10.1155/2011/568072 |
| work_keys_str_mv | AT mdelasen ontheextensionsofkrasnoselskiitypetheoremstopcyclicselfmappingsinbanachspaces |