Functions and Analysis

   

Strong Uniform Continuity and Filter Exhaustiveness of Nets of Cone Metric Space-Valued Functions

Authors: Antonio Boccuto, Xenofon Dimitriou

We give necessary and sufficient conditions for (strong uniform) continuity of the limit of a pointwise convergent net of cone metric space-valued functions. In this framework we consider several types of convergence in the filter context and some kinds of filter exhaustiveness.

Comments: 3 Pages.

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[v1] 2014-07-05 12:22:07

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