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Generation of Fractals via Self-Similar Group of Kannan Iterated Function System |
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PP: 3245-3250 |
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Author(s) |
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R. Uthayakumar,
A. Gowrisankar,
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Abstract |
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| In this paper, we introduce and investigate some definition and property of self-similar group and strong self-similar group
of Kannan contraction. These groups are found as the attractor of a Kannan iterated function system (KIFS). This paper improves the
Hutchinson-Barnsley theory in the sense of KIFS. Fractal set can be constructed by self-similar and strong self-similar group in the
sense of KIFS of compact topological group. Finally, we prove the relation between profinite group and strong self-similar group of
Kannan contraction. |
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