| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 29, Number 1, February 2024
|
|
|---|---|---|
| Page(s) | 13 - 20 | |
| DOI | https://doi.org/10.1051/wujns/2024291013 | |
| Published online | 15 March 2024 | |
Mathematics
CLC number: O177.91
Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces
1
College of Mathematics and Physics, Leshan Normal University, Leshan 614000, Sichuan, China
2
College of Mathematics, Chengdu Normal University, Chengdu 610000, Sichuan, China
Received:
18
May
2023
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.
Key words: weakly compatible pair of mappings / common fixed point / multiplicative metric space
Cite this article: SONG Jiping, LUO Tianqi, LEI Lei. Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces[J]. Wuhan Univ J of Nat Sci, 2024, 29(1): 13-20.
Biography: SONG Jiping, male, Professor, research direction: functional analysis and its application. E-mail: songjp@lsnu.edu.cn
Fundation item: Supported by the General Project of Science and Technology Department of Sichuan Province(2018JY0256), and the Scientific Research Fund of Leshan Normal University(DGZZ202024)
© Wuhan University 2023
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