一种新的多值映射的公共不动点结果和更快的迭代算法

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2025-04-07 DOI:10.1007/s13370-025-01301-0

Youssef Touail, Amine Jaid, Driss El Moutawakil

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引用次数: 0

摘要

本文通过一个辅助函数\(\beta \)证明了一对多值映射的一般不动点定理。我们的结果是在不使用空间的一致凸性和紧性的情况下证明的。在论文的最后，我们研究了一个涉及多值映射的迭代过程的收敛性。在不同的条件下，我们的方案比文献中已有的方案收敛速度更快，在实践中一直是首选的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Novel common fixed point results for multivalued mappings and a new faster iterative scheme

In the present work, we prove some common fixed point theorems for a pair of multivalued mappings via an auxiliary function, denoted as \(\beta \). Our results are proved without employing neither the uniform convexity nor the compactness of the space. At the end of the paper, we study the convergence of an iterative process involving multivalued mappings. Under different conditions, our scheme converges faster than existing ones in the literature, which is always preferred in practice.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量