Generalized fractal transforms and self-similar objects in cone metric spaces

نویسندگان

  • Herb Kunze
  • Davide La Torre
  • Franklin Mendivil
  • Edward R. Vrscay
چکیده

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 interior cone. 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.

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عنوان ژورنال:
  • Computers & Mathematics with Applications

دوره 64  شماره 

صفحات  -

تاریخ انتشار 2012