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On Rate of Convergence of Jungck‐Type Iterative Schemes

Author

Listed:
  • 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, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:132626
    DOI: 10.1155/2013/132626
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    References listed on IDEAS

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    1. Nawab Hussain & Renu Chugh & Vivek Kumar & Arif Rafiq, 2012. "On the Rate of Convergence of Kirk‐Type Iterative Schemes," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Nawab Hussain & Renu Chugh & Vivek Kumar & Arif Rafiq, 2012. "On the Rate of Convergence of Kirk-Type Iterative Schemes," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-22, July.
    3. J. O. Olaleru & H. Akewe, 2010. "On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-11, March.
    4. S. L. Singh & Charu Bhatnagar & S. N. Mishra, 2005. "Stability of Jungck-type iterative procedures," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-9, January.
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