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Approximation of Fixed Points of C *-Algebra-Multi-Valued Contractive Mappings by the Mann and Ishikawa Processes in Convex C *-Algebra-Valued Metric Spaces

Author

Listed:
  • Azadeh Ghanifard

    (Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
    These authors contributed equally to this work.)

  • Hashem Parvaneh Masiha

    (Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
    These authors contributed equally to this work.)

  • Manuel De La Sen

    (Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain
    These authors contributed equally to this work.)

Abstract

The aim of the present paper is to state and prove some convergence theorems for the Mann and Ishikawa iteration schemes involving C * -algebra-multi-valued contractive mappings in the setting of convex C * -algebra-valued metric spaces. The convergence theorems of the proposed iterations to a common fixed point of finite and infinite family of such mappings are also established.

Suggested Citation

  • Azadeh Ghanifard & Hashem Parvaneh Masiha & Manuel De La Sen, 2020. "Approximation of Fixed Points of C *-Algebra-Multi-Valued Contractive Mappings by the Mann and Ishikawa Processes in Convex C *-Algebra-Valued Metric Spaces," Mathematics, MDPI, vol. 8(3), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:392-:d:330936
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    References listed on IDEAS

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    1. G. jungck & B. E. Rhoades, 1993. "Some fixed point theorems for compatible maps," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-12, January.
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