A fixed point theorem for mappings with an F-contractive iterate
In this paper, we introduce the notion of F-contraction in the setting of complete metric space and we prove a fixed point theorem for F-contractive iteration.
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| Format: | Article |
| Language: | English |
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ATNAA
2019-11-01
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| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/857657 |
| _version_ | 1797905806963769344 |
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| author | Ali Öztürk |
| author_facet | Ali Öztürk |
| author_sort | Ali Öztürk |
| collection | DOAJ |
| description | In this paper, we introduce the notion of F-contraction in the setting of complete metric space and we prove
a fixed point theorem for F-contractive iteration. |
| first_indexed | 2024-04-10T10:11:01Z |
| format | Article |
| id | doaj.art-42ab747702ee492b8a2afdfa93560c79 |
| institution | Directory Open Access Journal |
| issn | 2587-2648 2587-2648 |
| language | English |
| last_indexed | 2024-04-10T10:11:01Z |
| publishDate | 2019-11-01 |
| publisher | ATNAA |
| record_format | Article |
| series | Advances in the Theory of Nonlinear Analysis and its Applications |
| spelling | doaj.art-42ab747702ee492b8a2afdfa93560c792023-02-15T16:22:10ZengATNAAAdvances in the Theory of Nonlinear Analysis and its Applications2587-26482587-26482019-11-013423123610.31197/atnaa.644325A fixed point theorem for mappings with an F-contractive iterateAli Öztürk0 Department of Mathematics, Bolu Abant İzzet Baysal University, 14030, Bolu, TurkeyIn this paper, we introduce the notion of F-contraction in the setting of complete metric space and we prove a fixed point theorem for F-contractive iteration.https://dergipark.org.tr/en/download/article-file/857657f-contraction; fixed point; complete metric space; contractive iteration. |
| spellingShingle | Ali Öztürk A fixed point theorem for mappings with an F-contractive iterate Advances in the Theory of Nonlinear Analysis and its Applications f-contraction; fixed point; complete metric space; contractive iteration. |
| title | A fixed point theorem for mappings with an F-contractive iterate |
| title_full | A fixed point theorem for mappings with an F-contractive iterate |
| title_fullStr | A fixed point theorem for mappings with an F-contractive iterate |
| title_full_unstemmed | A fixed point theorem for mappings with an F-contractive iterate |
| title_short | A fixed point theorem for mappings with an F-contractive iterate |
| title_sort | fixed point theorem for mappings with an f contractive iterate |
| topic | f-contraction; fixed point; complete metric space; contractive iteration. |
| url | https://dergipark.org.tr/en/download/article-file/857657 |
| work_keys_str_mv | AT aliozturk afixedpointtheoremformappingswithanfcontractiveiterate AT aliozturk fixedpointtheoremformappingswithanfcontractiveiterate |