Journal of applied mathematics & informatics

  • 제42권3호
  • /
  • Pages.583-605
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  • 2024
  • /
  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON ATTRACTORS OF TYPE 1 ITERATED FUNCTION SYSTEMS

  • JOSE MATHEW (Department of Mathematics, Deva Matha College) ;
  • SUNIL MATHEW (Department of Mathematics, National Institute of Technology Calicut) ;
  • NICOLAE ADRIAN SECELEAN (Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu)
  • 투고 : 2023.10.01
  • 심사 : 2024.01.11
  • 발행 : 2024.05.30
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초록

This paper discusses the properties of attractors of Type 1 IFS which construct self similar fractals on product spaces. General results like continuity theorem and Collage theorem for Type 1 IFS are established. An algebraic equivalent condition for the open set condition is studied to characterize the points outside a feasible open set. Connectedness properties of Type 1 IFS are mainly discussed. Equivalence condition for connectedness, arc wise connectedness and locally connectedness of a Type 1 IFS is established. A relation connecting separation properties and topological properties of Type 1 IFS attractors is studied using a generalized address system in product spaces. A construction of 3D fractal images is proposed as an application of the Type 1 IFS theory.

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과제정보

The first author gratefully acknowledges the financial support of the Council of Scientific and Industrial Research, India (CSIR).

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