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Approximation of Endpoints for α —Reich–Suzuki Nonexpansive Mappings in Hyperbolic Metric Spaces

Author

Listed:
  • Izhar Uddin

    (Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India)

  • Sajan Aggarwal

    (Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India)

  • Afrah A. N. Abdou

    (Mathematics Department, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21589, Saudi Arabia)

Abstract

The concept of an endpoint is a relatively new concept compared to the concept of a fixed point. The aim of this paper is to perform a convergence analysis of M —iteration involving α —Reich–Suzuki nonexpansive mappings. In this paper, we prove strong and Δ —convergence theorems in a hyperbolic metric space. Thus, our results generalize and improve many existing results.

Suggested Citation

  • Izhar Uddin & Sajan Aggarwal & Afrah A. N. Abdou, 2021. "Approximation of Endpoints for α —Reich–Suzuki Nonexpansive Mappings in Hyperbolic Metric Spaces," Mathematics, MDPI, vol. 9(14), pages 1-8, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1692-:d:596887
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    References listed on IDEAS

    as
    1. Kifayat Ullah & Junaid Ahmad & Muhammad Arshad & Manuel de la Sen & Muhammad Safi Ullah Khan, 2020. "Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-6, August.
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