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 (Alexandroff, Arzelà, sticky, strong uniform) in the filter context and some kinds of filter exhaustiveness.
Strong uniform continuity and filter exhaustiveness of nets of cone metric space-valued functions
BOCCUTO, Antonio
;
2015
Abstract
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 (Alexandroff, Arzelà, sticky, strong uniform) in the filter context and some kinds of filter exhaustiveness.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
