Fixed points of generalized contractions on O-metric spaces
| Autor: | Olaoluwa, Hallowed O., Ige, Aminat O., Olaleru, Johnson O. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 25 pages |
| Databáze: | arXiv |
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