4 papers
A Banach-Type Fixed Point Theorem via Discrepancy Functionals
Hallowed Olaoluwa
In this paper we establish a Banach-type fixed point theorem for mappings that contract a general nonnegative functional rather than a metric. The principal assumption is that the…
A unified analytic approach to O-metric inequalities and applications to fixed point theory
Hallowed Oluwadara Olaoluwa, Aminat Olawunmi Ige, Johnson Olajire Olaleru
The concept of O-metrics was recently introduced as a generalization of several metric-type structures by replacing the addition operation of the standard triangle inequality with…
Fixed points of generalized contractions on O-metric spaces
Hallowed O. Olaoluwa, Aminat O. Ige, Johnson O. Olaleru
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…
A generalized metric-type structure with some applications
Hallowed O. Olaoluwa, Aminat O. Ige, Johnson O. Olaleru
The paper introduces the class of O-metric spaces, a novel generalization of metric-type spaces, classifying almost all possible metric types into upward and downward O-metrics. We…