Fixed points of generalized contractions on O-metric spaces

Hallowed O. Olaoluwa; Aminat O. Ige; Johnson O. Olaleru

doi:10.1007/s40065-025-00493-4

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arXiv · 2403.09655

Fixed points of generalized contractions on O-metric spaces

Hallowed O. Olaoluwa·Aminat O. Ige·Johnson O. Olaleru

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Abstract

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.

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BibTeX RIS

Hallowed O. Olaoluwa, Aminat O. Ige, Johnson O. Olaleru. 2023-12-02. Fixed points of generalized contractions on O-metric spaces. https://doi.org/10.1007/s40065-025-00493-4

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