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Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces

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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.

weakly compatible pair of mappingscommon fixed pointmultiplicative metric space

SONG Jiping、LUO Tianqi、LEI Lei

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College of Mathematics and Physics,Leshan Normal University,Leshan 614000,Sichuan,China

College of Mathematics,Chengdu Normal University,Chengdu 610000,Sichuan,China

General Project of Science and Technology Department of Sichuan ProvinceScientific Research Fund of Leshan Normal University

2018JY0256DGZZ202024

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)

CSTPCD
影响因子:0.066
ISSN:1007-1202
年,卷(期):2024.29(1)
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