2 papers
math.FA2025
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…
math.FA2025
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…