This monograph, for the first time in book form, considers the large structure of metric spaces
as captured by bornologies: families of subsets that contain the singletons, that are stable …

In recent years Lipschitz-type functions have been studied in an extensive manner.
Particularly, we have locally Lipschitz functions (both the ball radius and the local Lipschitz …

The purpose of this article is to explore the very general phenomenon that a function
between metric spaces has a particular metric property if and only if whenever it is followed …

A function between two metric spaces is said to be Cauchy-regular if it takes Cauchy
sequences to Cauchy sequences. This well-studied class of functions lies strictly in between …

In recent years, Lipschitz-type functions have been studied in an extensive manner.
Particularly, we have locally Lipschitz functions, uniformly locally Lipschitz functions and …

A function f from a metric space (X, d) to another metric space (Y, ρ) is said to be Cauchy-
continuous if for every Cauchy sequence (xn) in (X, d),(f (xn)) is Cauchy in (Y, ρ). It is well …