Remarks on contractive type mappings
Abstract We present an analog of Banach’s fixed point theorem for C J M $CJM$ contractions in preordered metric spaces. These results substantially extend theorems of Ran and Reurings’ (Proc. Am. Math. Soc. 132(5): 1435-1443, 2003) and Nieto and Rodríguez-López (Order 22: 223-239, 2005).
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Fixed Point Theory and Applications |
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| Online Access: | http://link.springer.com/article/10.1186/s13663-017-0601-4 |
| _version_ | 1818896543396134912 |
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| author | Jarosław Górnicki |
| author_facet | Jarosław Górnicki |
| author_sort | Jarosław Górnicki |
| collection | DOAJ |
| description | Abstract We present an analog of Banach’s fixed point theorem for C J M $CJM$ contractions in preordered metric spaces. These results substantially extend theorems of Ran and Reurings’ (Proc. Am. Math. Soc. 132(5): 1435-1443, 2003) and Nieto and Rodríguez-López (Order 22: 223-239, 2005). |
| first_indexed | 2024-12-19T19:01:57Z |
| format | Article |
| id | doaj.art-89b7d1b0c6464518a7c86897f5096ea0 |
| institution | Directory Open Access Journal |
| issn | 1687-1812 |
| language | English |
| last_indexed | 2024-12-19T19:01:57Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-89b7d1b0c6464518a7c86897f5096ea02022-12-21T20:09:32ZengSpringerOpenFixed Point Theory and Applications1687-18122017-05-012017111210.1186/s13663-017-0601-4Remarks on contractive type mappingsJarosław Górnicki0Department of Mathematics and Applied Physics, Rzeszów University of TechnologyAbstract We present an analog of Banach’s fixed point theorem for C J M $CJM$ contractions in preordered metric spaces. These results substantially extend theorems of Ran and Reurings’ (Proc. Am. Math. Soc. 132(5): 1435-1443, 2003) and Nieto and Rodríguez-López (Order 22: 223-239, 2005).http://link.springer.com/article/10.1186/s13663-017-0601-4contractive mapfixed pointpreordered spaceG-metric space |
| spellingShingle | Jarosław Górnicki Remarks on contractive type mappings Fixed Point Theory and Applications contractive map fixed point preordered space G-metric space |
| title | Remarks on contractive type mappings |
| title_full | Remarks on contractive type mappings |
| title_fullStr | Remarks on contractive type mappings |
| title_full_unstemmed | Remarks on contractive type mappings |
| title_short | Remarks on contractive type mappings |
| title_sort | remarks on contractive type mappings |
| topic | contractive map fixed point preordered space G-metric space |
| url | http://link.springer.com/article/10.1186/s13663-017-0601-4 |
| work_keys_str_mv | AT jarosławgornicki remarksoncontractivetypemappings |