On Ćirić-Prešić Operators in Metric Spaces
We show that the Prešić type operators of several variables can be regarded as an operator of a single variable and the fixed point problem of Prešić type can be regarded as a classical fixed point problem. We extend the recent result of Ćirić and Prešić by using the classical approach of Prešić. Th...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5758032 |
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| _version_ | 1832545913216696320 |
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| author | Narongsuk Boonsri Satit Saejung Kittipong Sitthikul |
| author_facet | Narongsuk Boonsri Satit Saejung Kittipong Sitthikul |
| author_sort | Narongsuk Boonsri |
| collection | DOAJ |
| description | We show that the Prešić type operators of several variables can be regarded as an operator of a single variable and the fixed point problem of Prešić type can be regarded as a classical fixed point problem. We extend the recent result of Ćirić and Prešić by using the classical approach of Prešić. The key of the proof is based on the mappings introduced by Kada, Suzuki, and Takahashi. We also discuss the convergence problems of recursive real sequences and the Volterra integral equations as an application of our result. |
| format | Article |
| id | doaj-art-3ff9969b7f234eb281b5d58ff25e3ae2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-3ff9969b7f234eb281b5d58ff25e3ae22025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/57580325758032On Ćirić-Prešić Operators in Metric SpacesNarongsuk Boonsri0Satit Saejung1Kittipong Sitthikul2Department of Applied Mathematics and Statistics, Faculty of Sciences and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin, Wang Klai Kangwon Campus, Hua Hin Prachuap Khiri Khan 77110, ThailandWe show that the Prešić type operators of several variables can be regarded as an operator of a single variable and the fixed point problem of Prešić type can be regarded as a classical fixed point problem. We extend the recent result of Ćirić and Prešić by using the classical approach of Prešić. The key of the proof is based on the mappings introduced by Kada, Suzuki, and Takahashi. We also discuss the convergence problems of recursive real sequences and the Volterra integral equations as an application of our result.http://dx.doi.org/10.1155/2021/5758032 |
| spellingShingle | Narongsuk Boonsri Satit Saejung Kittipong Sitthikul On Ćirić-Prešić Operators in Metric Spaces Journal of Function Spaces |
| title | On Ćirić-Prešić Operators in Metric Spaces |
| title_full | On Ćirić-Prešić Operators in Metric Spaces |
| title_fullStr | On Ćirić-Prešić Operators in Metric Spaces |
| title_full_unstemmed | On Ćirić-Prešić Operators in Metric Spaces |
| title_short | On Ćirić-Prešić Operators in Metric Spaces |
| title_sort | on ciric presic operators in metric spaces |
| url | http://dx.doi.org/10.1155/2021/5758032 |
| work_keys_str_mv | AT narongsukboonsri onciricpresicoperatorsinmetricspaces AT satitsaejung onciricpresicoperatorsinmetricspaces AT kittipongsitthikul onciricpresicoperatorsinmetricspaces |