Fixed points of generalized contractions on O-metric spaces

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 an...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2023-12
Main Authors: Olaoluwa, Hallowed O, Ige, Aminat O, Olaleru, Johnson O
Format: Article
Language:English
Subjects:
Fixed points (mathematics)
Metric space
Theorems
Topology
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422