On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation
By combining the concept of orthogonality and the Geraghty type contraction, we give some fixed point results in the class of O-metric spaces. Our obtained results extend the existing results in the literature. We also resolve an ordinary type differential equation.
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022958?viewType=HTML |
| _version_ | 1828519699433914368 |
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| author | S. S. Razavi H. P. Masiha Hüseyin Işık Hassen Aydi Choonkil Park |
| author_facet | S. S. Razavi H. P. Masiha Hüseyin Işık Hassen Aydi Choonkil Park |
| author_sort | S. S. Razavi |
| collection | DOAJ |
| description | By combining the concept of orthogonality and the Geraghty type contraction, we give some fixed point results in the class of O-metric spaces. Our obtained results extend the existing results in the literature. We also resolve an ordinary type differential equation. |
| first_indexed | 2024-12-11T19:16:28Z |
| format | Article |
| id | doaj.art-4332d592a363451bae2a158ea318bf99 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-11T19:16:28Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-4332d592a363451bae2a158ea318bf992022-12-22T00:53:38ZengAIMS PressAIMS Mathematics2473-69882022-07-0179173931740210.3934/math.2022958On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equationS. S. Razavi0H. P. Masiha 1Hüseyin Işık2Hassen Aydi 3Choonkil Park41. Faculty of Mathematics, K.N. Toosi University of Technology, Tehran, Iran1. Faculty of Mathematics, K.N. Toosi University of Technology, Tehran, Iran2. Department of Engineering Science, Bandırma Onyedi Eylül University, Bandırma 10200, Balıkesir, Turkey3. Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia 4. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan 5. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa6. Research Institute for Natural Sciences, Hanyang University, Seoul 04763, KoreaBy combining the concept of orthogonality and the Geraghty type contraction, we give some fixed point results in the class of O-metric spaces. Our obtained results extend the existing results in the literature. We also resolve an ordinary type differential equation.https://www.aimspress.com/article/doi/10.3934/math.2022958?viewType=HTMLo-metric spacegeraghty contraction mappingorthogonal setordinary differential equation |
| spellingShingle | S. S. Razavi H. P. Masiha Hüseyin Işık Hassen Aydi Choonkil Park On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation AIMS Mathematics o-metric space geraghty contraction mapping orthogonal set ordinary differential equation |
| title | On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation |
| title_full | On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation |
| title_fullStr | On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation |
| title_full_unstemmed | On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation |
| title_short | On Geraghty ⊥-contractions in O-metric spaces and an application to an ordinary type differential equation |
| title_sort | on geraghty ⊥ contractions in o metric spaces and an application to an ordinary type differential equation |
| topic | o-metric space geraghty contraction mapping orthogonal set ordinary differential equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022958?viewType=HTML |
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