Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces  

作　　者：SONG Jiping LUO Tianqi LEI Lei 

机构地区：[1]College of Mathematics and Physics,Leshan Normal University,Leshan 614000,Sichuan,China [2]College of Mathematics,Chengdu Normal University,Chengdu 610000,Sichuan,China

出　　处：《Wuhan University Journal of Natural Sciences》2024年第1期13-20,共8页武汉大学学报（自然科学英文版）

基　　金：Supported by the General Project of Science and Technology Department of Sichuan Province(2018JY0256);the Scientific Research Fund of Leshan Normal University(DGZZ202024)。

摘　　要：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.

关 键 词：weakly compatible pair of mappings common fixed point multiplicative metric space 

分 类 号：O177.91[理学—数学]