乘法公设空间中乘法收缩的常见定点

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2024-02-01 DOI:10.1051/wujns/2024291013

Jiping Song, Tianqi Luo, Lei Lei

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引用次数: 0

摘要

该研究深入探讨了乘法收缩，探索了一对弱兼容映射的共同定点的存在性和唯一性。这些映射遵守特定的乘法收缩条件，其特征是以分数乘法度量空间表示的指数。我们注意到，一个度量可以引起一个乘法度量，反之，一个乘法度量可以引起一个非空集上的度量。作为应用，还给出了乘法初始问题解的存在性和唯一性的另一个证明。

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Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces

The study delves into multiplicative contractions, exploring the existence and uniqueness of common fixed points for a weakly compatible pair of mappings. Those mappings adhere to specific multiplicative contraction conditions characterized by exponents expressed as fraction multiplicative metric spaces. It is noted that a metric can induce a multiplicative metric, and conversely, a multiplicative metric can give a rise to a metric on a nonempty set. As an application, another proof of the existence and uniqueness of the solution of a multiplicative initial problem is given.

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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.