Functions and Analysis


Ascoli-Type Theorems in the Cone Metric Space Setting

Authors: Antonio Boccuto, Xenofon Dimitriou

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.

Comments: 7 Pages.

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Submission history

[v1] 2014-06-04 12:51:50

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