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

被引：21

作者：

Kunze, H. ^{[2
]}

La Torre, D. ^{[1
]}

Mendivil, F. ^{[3
]}

Vrscay, E. R. ^{[4
]}

机构：

[1] Univ Milan, Dept Econ Business & Stat, I-20122 Milan, Italy

[2] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada

[3] Acadia Univ, Dept Math & Stat, Wolfville, NS B0P 1X0, Canada

[4] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 06期

关键词：

Cone metric space; Completeness; Contractivity; Self-similarity; Digital image analysis;

D O I：

10.1016/j.camwa.2012.02.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1761 / 1769

页数：9

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