4 papers
Discontinuity at the fixed point in suprametric spaces
Nicola Fabiano, Sedigheh Barootkoob, Hossein Lakzian
The aim of this paper is to generalize some fixed point theorems in the class of convex contraction of order on a complete suprametric space. Then, we will prove that the class…
Path Averaged Polynomial Contractions: A New Generalization of Polynomial Contractions, Path-Averaged Contractions, and Banach Contractions
Clement Boateng Ampadu, Nicola Fabiano
The notion of polynomial contraction appeared in [2], whilst the notion of path-averaged contraction appeared in [3] for metric spaces, in [4,5] for b-metric spaces, , and in [6] f…
Fixed Point Theorem for Path-Averaged Contractions in Complete b-Metric Spaces
Nicola Fabiano
We extend the fixed point result for Path-Averaged Contractions (PA-contractions) from complete metric spaces to complete b-metric spaces. We prove that every PA-contraction on a c…
Path--Averaged Contractions: A New Generalization of the Banach Contraction Principle
Nicola Fabiano
We introduce a novel class of self-mappings on metric spaces, called \textbf{PA-contractions} (Path-Averaged Contractions), defined by an averaging condition over iterated distance…