New Applications of Perov’s Fixed Point Theorem
The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are obtained for the proposed system. The approxi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/23/4597 |
| _version_ | 1797462726222544896 |
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| author | Sorin Mureşan Loredana Florentina Iambor Omar Bazighifan |
| author_facet | Sorin Mureşan Loredana Florentina Iambor Omar Bazighifan |
| author_sort | Sorin Mureşan |
| collection | DOAJ |
| description | The goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are obtained for the proposed system. The approximation of the solution is given, and as a novelty, the approximation of its derivative is also obtained using the same iteration steps. |
| first_indexed | 2024-03-09T17:40:45Z |
| format | Article |
| id | doaj.art-78e498c9f0ce4c24a864a8b63204660e |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T17:40:45Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-78e498c9f0ce4c24a864a8b63204660e2023-11-24T11:36:13ZengMDPI AGMathematics2227-73902022-12-011023459710.3390/math10234597New Applications of Perov’s Fixed Point TheoremSorin Mureşan0Loredana Florentina Iambor1Omar Bazighifan2Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, RomaniaDepartment of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, RomaniaDepartment of Mathematics, Faculty of Science, Hadhramout University, Mukalla 50512, YemenThe goal of this paper is to consider a differential equation system written as an interesting equivalent form that has not been used before. Using Perov’s fixed point theorem in generalized metric spaces, the existence and uniqueness of the solution are obtained for the proposed system. The approximation of the solution is given, and as a novelty, the approximation of its derivative is also obtained using the same iteration steps.https://www.mdpi.com/2227-7390/10/23/4597fixed pointPerov’s fixed point theoremdifferential equation system |
| spellingShingle | Sorin Mureşan Loredana Florentina Iambor Omar Bazighifan New Applications of Perov’s Fixed Point Theorem Mathematics fixed point Perov’s fixed point theorem differential equation system |
| title | New Applications of Perov’s Fixed Point Theorem |
| title_full | New Applications of Perov’s Fixed Point Theorem |
| title_fullStr | New Applications of Perov’s Fixed Point Theorem |
| title_full_unstemmed | New Applications of Perov’s Fixed Point Theorem |
| title_short | New Applications of Perov’s Fixed Point Theorem |
| title_sort | new applications of perov s fixed point theorem |
| topic | fixed point Perov’s fixed point theorem differential equation system |
| url | https://www.mdpi.com/2227-7390/10/23/4597 |
| work_keys_str_mv | AT sorinmuresan newapplicationsofperovsfixedpointtheorem AT loredanaflorentinaiambor newapplicationsofperovsfixedpointtheorem AT omarbazighifan newapplicationsofperovsfixedpointtheorem |