Fixed-Point Approximation of Operators Satisfying (RCSC)—Condition in CAT(0) Spaces-Reference-Cited by-同舟云学术

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

Published:2023-11-16 Issue:22 Volume:11 Page:4658
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Saleem Naeem¹²^ORCID,Ullah Kifayat³^ORCID,Nabwey Hossam A.⁴⁵^ORCID,Bilal Hazrat³^ORCID,Ullah Sharif³,George Reny⁴^ORCID

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)

Link

https://www.mdpi.com/2227-7390/11/22/4658/pdf

Reference30 articles.

1. Sur les operations dans les ensembles abstraits et leur application aux equations integrales;Banach;Fund. Math.,1922

2. Nonexpansive nonlinear operators in a Banach space;Browder;Proc. Natl. Acad. Sci. USA,1965

3. Zum Prinzip der Kontraktiven Abbildung;Gohde;Math. Nachr.,1965

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

5. Fixed points by a new iteration method;Ishikawa;Proc. Am. Math. Soc.,1974

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Single-valued signals, multi-valued signals, and fixed point of contractive signals;Mathematics Open;2024-01