N*-Iteration Approach for Approximation of Fixed Points in Uniformly Convex Banach Space

In this paper, a new iterative approach for approximating the fixed points (FPs) of Suzuki generalized nonexpansive (SGN) mapping as well as weak contractions, called the N* iteration approach, is presented. Furthermore, it is demonstrated analytically and numerically that the proposed approach conv...

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Bibliographic Details
Main Author: Raghad I. Sabri
Format: Article
Language:English
Published: Tamkang University Press 2025-01-01
Series:Journal of Applied Science and Engineering
Subjects:
Online Access:http://jase.tku.edu.tw/articles/jase-202508-28-08-0005
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Summary:In this paper, a new iterative approach for approximating the fixed points (FPs) of Suzuki generalized nonexpansive (SGN) mapping as well as weak contractions, called the N* iteration approach, is presented. Furthermore, it is demonstrated analytically and numerically that the proposed approach converges to an FP for contraction map faster than some well-known and leading approaches. To support the main results, several non-trivial numerical examples are presented. Finally, the stability of the new iterative approach is confirmed. The results of this work improve and extend the corresponding results in the literature.
ISSN:2708-9967
2708-9975