Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472219 | Computers & Mathematics with Applications | 2012 | 9 Pages |
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 analysis.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
H. Kunze, D. La Torre, F. Mendivil, E.R. Vrscay,