武汉大学自然科学学报(英文版)2024,Vol.29Issue(1) :13-20.DOI:10.1051/wujns/2024291013

Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces

SONG Jiping LUO Tianqi LEI Lei
武汉大学自然科学学报(英文版)2024,Vol.29Issue(1) :13-20.DOI:10.1051/wujns/2024291013

Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces

SONG Jiping 1LUO Tianqi 1LEI Lei2
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作者信息

  • 1. College of Mathematics and Physics,Leshan Normal University,Leshan 614000,Sichuan,China
  • 2. College of Mathematics,Chengdu Normal University,Chengdu 610000,Sichuan,China
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Abstract

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 ex-pressed 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

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基金项目

General Project of Science and Technology Department of Sichuan Province(2018JY0256)

Scientific Research Fund of Leshan Normal University(DGZZ202024)

出版年

2024
武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

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影响因子:0.066
ISSN:1007-1202
参考文献量13
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