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Iterative approximation to a coincidence point of two mappings

Author

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  • Ariza-Ruiz, D.
  • Garcia-Falset, J.

Abstract

In this article two methods for approximating the coincidence point of two mappings are studied and moreover, rates of convergence for both methods are given. These results are illustrated by several examples, in particular we apply such results to study the convergence and their rate of convergence of these methods to the solution of a nonlinear integral equation and of a nonlinear differential equation.

Suggested Citation

  • Ariza-Ruiz, D. & Garcia-Falset, J., 2015. "Iterative approximation to a coincidence point of two mappings," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 762-776.
    • Handle: RePEc:eee:apmaco:v:259:y:2015:i:c:p:762-776
    DOI: 10.1016/j.amc.2015.03.007
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    Cited by:

    1. 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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