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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.09655 |
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| _version_ | 1866909594920419328 |
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| author | Olaoluwa, Hallowed O. Ige, Aminat O. Olaleru, Johnson O. |
| author_facet | Olaoluwa, Hallowed O. Ige, Aminat O. Olaleru, Johnson O. |
| contents | The class of O-metric spaces generalize several existing metric-types in literature including metric spaces, b-metric spaces, and ultra metric spaces. In this paper, we discuss the properties of the topology induced by an O-metric and establish in the setting, fixed point theorems of contractions and generalized contractions. The proofs of the theorems rely heavily on polygon O-inequalities which are a natural generalization of the triangle inequality, and the construction of which leads to the notion of O-series following a pattern of functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09655 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Fixed points of generalized contractions on O-metric spaces Olaoluwa, Hallowed O. Ige, Aminat O. Olaleru, Johnson O. General Mathematics 54E99, 54E350 The class of O-metric spaces generalize several existing metric-types in literature including metric spaces, b-metric spaces, and ultra metric spaces. In this paper, we discuss the properties of the topology induced by an O-metric and establish in the setting, fixed point theorems of contractions and generalized contractions. The proofs of the theorems rely heavily on polygon O-inequalities which are a natural generalization of the triangle inequality, and the construction of which leads to the notion of O-series following a pattern of functions. |
| title | Fixed points of generalized contractions on O-metric spaces |
| topic | General Mathematics 54E99, 54E350 |
| url | https://arxiv.org/abs/2403.09655 |