A New Four-Step Iterative Approximation Scheme for Reich-Suzuki-Type Nonexpansive Operators in Banach Spaces

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS(2024)

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摘要
In this paper, we present a new four-step iterative scheme namely DH-iterative which is faster than many super algorithms in the literature for numerical reckoning fixed points. Under this algorithm, some fixed point convergence results and omega(2)-stability for contractive-like and Reich-Suzuki-type nonexpansive mappings are proposed. Our results extend and improve several related results in the literature. Finally, some numerical examples are given to study the efficiency and effectiveness of our iterative method.
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关键词
DH-iterative scheme,contractive-like mapping,Reich-Suzuki-type nonexpansive mapping,omega(2)-stability,Banach space
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