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Author Country (or Countries)

India.

Abstract

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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