首页|Common Fixed Points for Multiplicative Contractions in Multiplicative Metric Spaces
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