Continuation theory for general contractions in gauge spaces
A continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive map on a gauge space and in particular yields homotopy invariance results for several type...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2004-08-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/S1687182004403027 |
| _version_ | 1819118661215977472 |
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| author | Radu Precup Adela Chiş |
| author_facet | Radu Precup Adela Chiş |
| author_sort | Radu Precup |
| collection | DOAJ |
| description | A continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive map on a gauge space and in particular yields homotopy invariance results for several types of generalized contractions. |
| first_indexed | 2024-12-22T05:52:25Z |
| format | Article |
| id | doaj.art-1dab383f74bb4e06b4ed8db9d410654a |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-22T05:52:25Z |
| publishDate | 2004-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-1dab383f74bb4e06b4ed8db9d410654a2022-12-21T18:36:50ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122004-08-012004317318510.1155/S1687182004403027Continuation theory for general contractions in gauge spacesRadu PrecupAdela ChişA continuation principle of Leray-Schauder type is presented for contractions with respect to a gauge structure depending on the homotopy parameter. The result involves the most general notion of a contractive map on a gauge space and in particular yields homotopy invariance results for several types of generalized contractions.http://dx.doi.org/10.1155/S1687182004403027 |
| spellingShingle | Radu Precup Adela Chiş Continuation theory for general contractions in gauge spaces Fixed Point Theory and Applications |
| title | Continuation theory for general contractions in gauge spaces |
| title_full | Continuation theory for general contractions in gauge spaces |
| title_fullStr | Continuation theory for general contractions in gauge spaces |
| title_full_unstemmed | Continuation theory for general contractions in gauge spaces |
| title_short | Continuation theory for general contractions in gauge spaces |
| title_sort | continuation theory for general contractions in gauge spaces |
| url | http://dx.doi.org/10.1155/S1687182004403027 |
| work_keys_str_mv | AT raduprecup continuationtheoryforgeneralcontractionsingaugespaces AT adelachi351 continuationtheoryforgeneralcontractionsingaugespaces |