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Approximation of Fixed Points of Multivalued Generalized ( α , β )-Nonexpansive Mappings in an Ordered CAT(0) Space

Author

Listed:
  • Mujahid Abbas

    (Department of Mathematics, Government College University, Katchery Road, Lahore 54000, Pakistan
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404, Taiwan)

  • Hira Iqbal

    (Department of Sciences and Humanities, Lahore Campus, National University of Computer and Emerging Sciences, Lahore 54000, Pakistan)

  • Manuel De la Sen

    (Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Spain)

  • Khushdil Ahmad

    (Department of Mathematics, Government College University, Katchery Road, Lahore 54000, Pakistan)

Abstract

The purpose of this article is to initiate the notion of monotone multivalued generalized ( α , β )-nonexpansive mappings and explore the iterative approximation of the fixed points for the mapping in an ordered CAT(0) space. In particular, we employ the S -iteration algorithm in CAT(0) space to prove some convergence results. Moreover, some examples and useful results related to the proposed mapping are provided. Numerical experiments are also provided to illustrate and compare the convergence of the iteration scheme. Finally, an application of the iterative scheme has been presented in finding the solutions of integral differential equation.

Suggested Citation

  • Mujahid Abbas & Hira Iqbal & Manuel De la Sen & Khushdil Ahmad, 2021. "Approximation of Fixed Points of Multivalued Generalized ( α , β )-Nonexpansive Mappings in an Ordered CAT(0) Space," Mathematics, MDPI, vol. 9(16), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1945-:d:614649
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    References listed on IDEAS

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    1. N. Mlaiki & K. Abodayeh & H. Aydi & T. Abdeljawad & M. Abuloha, 2018. "Rectangular Metric-Like Type Spaces and Related Fixed Points," Journal of Mathematics, Hindawi, vol. 2018, pages 1-7, September.
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