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Fixed-Point Approximation of Operators Satisfying (RCSC)—Condition in CAT(0) Spaces

Author

Listed:
  • Naeem Saleem

    (Department of Mathematics, University of Management and Technology, Lahore 54770, Punjab, Pakistan
    Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, Pretoria 0204, South Africa
    These authors contributed equally to this work.)

  • Kifayat Ullah

    (Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
    These authors contributed equally to this work.)

  • Hossam A. Nabwey

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt
    These authors contributed equally to this work.)

  • Hazrat Bilal

    (Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
    These authors contributed equally to this work.)

  • Sharif Ullah

    (Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
    These authors contributed equally to this work.)

  • Reny George

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    These authors contributed equally to this work.)

Abstract

In this research article, we have proved strong and Δ -convergence results for mapping satisfying ( R C S C ) condition via M-iteration process in CAT(0) spaces. Numerical examples are provided to show the superiority of our results over other existing results and to illustrate the faster convergence of the M iterative scheme as compared to many well-known iterative schemes. In this process, many results are improved in the current literature of CAT(0) spaces.

Suggested Citation

  • Naeem Saleem & Kifayat Ullah & Hossam A. Nabwey & Hazrat Bilal & Sharif Ullah & Reny George, 2023. "Fixed-Point Approximation of Operators Satisfying (RCSC)—Condition in CAT(0) Spaces," Mathematics, MDPI, vol. 11(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:22:p:4658-:d:1281366
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