New Julia and Mandelbrot Sets for Jungck Ishikawa Iterates

Journal Title: INTERNATIONAL JOURNAL OF COMPUTER TRENDS & TECHNOLOGY - Year 2014, Vol 9, Issue 5

Abstract

The generation of fractals and study of the dynamics of polynomials is one of the emerging and interesting field of research nowadays. We introduce in this paper the dynamics of polynomials z n - z + c = 0 for n 2 and applied Jungck Ishikawa Iteration to generate new Relative Superior Mandelbrot sets and Relative Superior Julia sets. In order to solve this function by Jungck –type iterative schemes, we write it in the form of Sz = Tz, where the function T, S are defined as Tz = z n + c and Sz = z. Only mathematical explanations are derived by applying Jungck Ishikawa Iteration for polynomials in the literature but in this paper we have generated Relative Mandelbrot sets and Relative Julia sets.

Authors and Affiliations

Suman Joshi , Dr. Yashwant Singh Chauhan , Dr. Ashish Negi

Keywords

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  • EP ID EP121284
  • DOI -
  • Views 134
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How To Cite

Suman Joshi, Dr. Yashwant Singh Chauhan, Dr. Ashish Negi (2014). New Julia and Mandelbrot Sets for Jungck Ishikawa Iterates. INTERNATIONAL JOURNAL OF COMPUTER TRENDS & TECHNOLOGY, 9(5), 209-216. https://europub.co.uk/articles/-A-121284