三个有限族渐近广义Φ-半压缩映射的一个新的三步隐式迭代过程

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2023-06-23 DOI:10.1007/s11766-023-4228-4

Godwin Amechi Okeke, Austine Efut Ofem

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引用次数: 1

摘要

本文介绍了一种三步复合隐式迭代过程，用于逼近三个一致连续渐近广义Φ-hemicontractive映射在中间意义上的公共不动点。我们证明了所提出的迭代过程在中间意义上收敛于三个有限族的渐近广义Φ-hemicontractive映射的公共不动点。我们的结果扩展，改进和补充了文献中的几个已知结果。

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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A novel three-step implicit iteration process for three finite family of asymptotically generalized Φ-hemicontractive mapping in the intermediate sense

In this paper, we introduce a three-step composite implicit iteration process for approximating the common fixed point of three uniformly continuous and asymptotically generalized Φ-hemicontractive mappings in the intermediate sense. We prove that our proposed iteration process converges to the common fixed point of three finite family of asymptotically generalized Φ-hemicontractive mappings in the intermediate sense. Our results extends, improves and complements several known results in literature.

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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.