Fixed Point of Modified <i>F</i>-Contraction with an Application
In this paper, we prove the existence of fixed points for every 2-rotative continuous mapping in Banach spaces to answer an open question raised by Goebel and Koter. Further, we modify <i>F</i>-contraction by developing <i>F</i>-rotative mapping and establish some fixed-point...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/8/413 |
| _version_ | 1797432499724353536 |
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| author | Min Wang Naeem Saleem Shahid Bashir Mi Zhou |
| author_facet | Min Wang Naeem Saleem Shahid Bashir Mi Zhou |
| author_sort | Min Wang |
| collection | DOAJ |
| description | In this paper, we prove the existence of fixed points for every 2-rotative continuous mapping in Banach spaces to answer an open question raised by Goebel and Koter. Further, we modify <i>F</i>-contraction by developing <i>F</i>-rotative mapping and establish some fixed-point theorems. Finally, we apply our results to prove the existence of a solution of a non-linear fractional differential equation. |
| first_indexed | 2024-03-09T10:01:30Z |
| format | Article |
| id | doaj.art-63b38e8b83d640adb521eb2c16c16edd |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T10:01:30Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-63b38e8b83d640adb521eb2c16c16edd2023-12-01T23:24:42ZengMDPI AGAxioms2075-16802022-08-0111841310.3390/axioms11080413Fixed Point of Modified <i>F</i>-Contraction with an ApplicationMin Wang0Naeem Saleem1Shahid Bashir2Mi Zhou3School of Science and Physics, Mianyang Teacher’s College, Mianyang 621000, ChinaDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Sciences and Humanities, National University of Computer and Emerging Science, (NUCES, FAST), Lahore 54700, PakistanSchool of Science and Technology, University of Sanya, Sanya 572000, ChinaIn this paper, we prove the existence of fixed points for every 2-rotative continuous mapping in Banach spaces to answer an open question raised by Goebel and Koter. Further, we modify <i>F</i>-contraction by developing <i>F</i>-rotative mapping and establish some fixed-point theorems. Finally, we apply our results to prove the existence of a solution of a non-linear fractional differential equation.https://www.mdpi.com/2075-1680/11/8/413mean non-expansive mapping<i>F</i>-contractionrotative mappingfixed point |
| spellingShingle | Min Wang Naeem Saleem Shahid Bashir Mi Zhou Fixed Point of Modified <i>F</i>-Contraction with an Application Axioms mean non-expansive mapping <i>F</i>-contraction rotative mapping fixed point |
| title | Fixed Point of Modified <i>F</i>-Contraction with an Application |
| title_full | Fixed Point of Modified <i>F</i>-Contraction with an Application |
| title_fullStr | Fixed Point of Modified <i>F</i>-Contraction with an Application |
| title_full_unstemmed | Fixed Point of Modified <i>F</i>-Contraction with an Application |
| title_short | Fixed Point of Modified <i>F</i>-Contraction with an Application |
| title_sort | fixed point of modified i f i contraction with an application |
| topic | mean non-expansive mapping <i>F</i>-contraction rotative mapping fixed point |
| url | https://www.mdpi.com/2075-1680/11/8/413 |
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