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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Tamkang University Press
2025-01-01
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| 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. |
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| ISSN: | 2708-9967 2708-9975 |