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Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications

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  • Godwin Amechi Okeke
  • Mujahid Abbas
  • Manuel de la Sen

Abstract

In this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. We prove analytically and with series of numerical experiments that the Picard–Ishikawa hybrid iterative process has the same rate of convergence as the CR iterative process.

Suggested Citation

  • Godwin Amechi Okeke & Mujahid Abbas & Manuel de la Sen, 2020. "Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-11, March.
    • Handle: RePEc:hin:jnddns:8634050
    DOI: 10.1155/2020/8634050
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    Cited by:

    1. Mujahid Abbas & Muhammad Waseem Asghar & Manuel De la Sen, 2022. "Approximation of the Solution of Delay Fractional Differential Equation Using AA -Iterative Scheme," Mathematics, MDPI, vol. 10(2), pages 1-20, January.

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