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On Rate of Convergence of Jungck-Type Iterative Schemes

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  • Nawab Hussain
  • Vivek Kumar
  • Marwan A. Kutbi

Abstract

We introduce a new iterative scheme called Jungck-CR iterative scheme and study the stability and strong convergence of this iterative scheme for a pair of nonself-mappings using a certain contractive condition. Also, convergence speed comparison and applications of Jungck-type iterative schemes will be shown through examples.

Suggested Citation

  • Nawab Hussain & Vivek Kumar & Marwan A. Kutbi, 2013. "On Rate of Convergence of Jungck-Type Iterative Schemes," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-15, May.
    • Handle: RePEc:hin:jnlaaa:132626
    DOI: 10.1155/2013/132626
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    Cited by:

    1. Tassaddiq, Asifa, 2022. "General escape criteria for the generation of fractals in extended Jungck–Noor orbit," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 196(C), pages 1-14.
    2. Keten Çopur, Ayşegül & Hacıoğlu, Emirhan & Gürsoy, Faik, 2024. "New insights on a pair of quasi-contractive operators in Banach spaces: Results on Jungck type iteration algorithms and proposed open problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 476-497.

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