We use the idea of a scalarization of a cone metric to prove that the topology generated by any cone metric is equivalent to a topology generated by a related metric. We then analyze the case of an ordering cone with empty interior and we provide alternative definitions based on the notion of quasi-interior points. Finally we discuss the implications of such cone metrics in the theory of iterated function systems and generalized fractal transforms and suggest some applications in fractal-based image analysis
Generalized fractal transforms and self-similar objects in cone metric spaces / H. Kunze, D. La Torre, F. Mendivil, E.R. Vrscay. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 64:6(2012), pp. 1761-1769.
Generalized fractal transforms and self-similar objects in cone metric spaces
D. La TorreSecondo
;
2012
Abstract
We use the idea of a scalarization of a cone metric to prove that the topology generated by any cone metric is equivalent to a topology generated by a related metric. We then analyze the case of an ordering cone with empty interior and we provide alternative definitions based on the notion of quasi-interior points. Finally we discuss the implications of such cone metrics in the theory of iterated function systems and generalized fractal transforms and suggest some applications in fractal-based image analysisFile | Dimensione | Formato | |
---|---|---|---|
CMA_Kunze_Latorre_Mendivil_Vrscay.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
579.77 kB
Formato
Adobe PDF
|
579.77 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.