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Cyclic Multivalued Iterated Function Systems

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Mathematics and Computing (ICMC 2022)

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Abstract

IFS constitutes one of the powerful tools to generate fractal sets. Recently, a cyclic map is used in IFS to construct a new class of fractals. This paper is an effort to study multivalued IFSs with various types of cyclic multivalued maps such as cyclic multivalued \(\phi \)-contraction, cyclic multivalued Meir–Keeler contraction and cyclic multivalued contractive which are generalizations of contraction map, and the construction of fractals with the help of these IFSs have been established.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036, India

    R. Pasupathi & A. K. B. Chand

  2. Departmento de Matemática Aplicada, Escuela de Ingeniería y Arquitectura, Universidad de Zaragoza, 50018, Zaragoza, Spain

    M. A. Navascués

Authors
  1. R. Pasupathi
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  2. A. K. B. Chand
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  3. M. A. Navascués
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Corresponding author

Correspondence to R. Pasupathi .

Editor information

Editors and Affiliations

  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India

    B. Rushi Kumar

  2. Department of Mathematics, Indian Institute of Technology Madras, Chennai, Tamil Nadu, India

    S. Ponnusamy

  3. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  4. Department of Computer Science, The University of Texas at Dallas, Richardson, TX, USA

    Bhavani Thuraisingham

  5. Department of Computer Science, Purdue University, West Lafayette, IN, USA

    Christopher W. Clifton

  6. Department of Theoretical and Applied Sciences, University of Insubria, Varese, Italy

    Barbara Carminati

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Pasupathi, R., Chand, A.K.B., Navascués, M.A. (2022). Cyclic Multivalued Iterated Function Systems. In: Rushi Kumar, B., Ponnusamy, S., Giri, D., Thuraisingham, B., Clifton, C.W., Carminati, B. (eds) Mathematics and Computing. ICMC 2022. Springer Proceedings in Mathematics & Statistics, vol 415. Springer, Singapore. https://doi.org/10.1007/978-981-19-9307-7_21

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