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

Author:

Saleem Naeem12ORCID,Ullah Kifayat3ORCID,Nabwey Hossam A.45ORCID,Bilal Hazrat3ORCID,Ullah Sharif3,George Reny4ORCID

Affiliation:

1. Department of Mathematics, University of Management and Technology, Lahore 54770, Punjab, Pakistan

2. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa, Pretoria 0204, South Africa

3. Department of Mathematics, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan

4. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

5. Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt

Abstract

In this research article, we have proved strong and Δ-convergence results for mapping satisfying (RCSC) 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.

Funder

Prince Sattam bin Abdulaziz University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference30 articles.

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4. Mean value methods in iteration;Mann;Proc. Am. Math. Soc.,1953

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