Functions and Analysis

1406 Submissions

[1] viXra:1406.0024 [pdf] submitted on 2014-06-04 12:51:50

Ascoli-Type Theorems in the Cone Metric Space Setting

Authors: Antonio Boccuto, Xenofon Dimitriou
Comments: 7 Pages.

We give some necessary and sufficient conditions for (global) continuity of the limit of a pointwise convergent net of cone metric space-valued functions, defined on a Hausdorff topological space, in terms of weak filter exhaustiveness. In this framework, we prove some Ascoli-type theorems, considering also possibly asymmetric and extended real-valued distance functions.
Category: Functions and Analysis