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

Naeem Saleem (), Kifayat Ullah, Hossam A. Nabwey (), Hazrat Bilal, Sharif Ullah and Reny George
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Naeem Saleem: Department of Mathematics, University of Management and Technology, Lahore 54770, Punjab, Pakistan
Kifayat Ullah: Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
Hossam A. Nabwey: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Hazrat Bilal: Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
Sharif Ullah: Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan
Reny George: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2023, vol. 11, issue 22, 1-12

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.

Keywords: M-iteration process; mappings satisfying ( RCSC ) condition; strong convergence; ?-convergence; CAT(0) space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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