复值度量空间中F-压缩映射的叠合点  

Coincidence points for F-contractions in complex valued metric spaces

作　　者：宋际平[1] Song Jiping(College of Mathematics and Information Science,Leshan Normal University,Leshan 614000,China)

机构地区：[1]乐山师范学院数学与信息科学学院,四川乐山614000

出　　处：《纯粹数学与应用数学》2021年第1期91-108,共18页Pure and Applied Mathematics

基　　金：国家自然科学基金(11701245);四川省教育厅科研项目(18ZB0272)。

摘　　要：将F-压缩的概念从度量空间推广到复值度量空间中,并引进F-拟压缩的概念.说明了每个F-压缩是F-拟压缩,但反之不真.运用序列逼近的方法,对两个满足某种F-压缩条件的映射,证明了一些叠合点结果,同时得到了一些不动点结果,这些结果推广了Wardowski的结果.给出了几个说明性例子以突出这种推广.The notion of F-contraction is generalized from metric spaces to complex valued metric spaces,and F-quasi-contraction is introduced in complex valued metric spaces.Every F-contraction is F-quasi-contraction,and the reverse of this state is not true.By using the method of successive approximation,some coincidence point results for two mappings satisfying a F-contractive condition are proved,and some fixed point results for a F-contraction are obtained which generalize Wardowski′s results.Several illustrative examples are also given to highlight the realized generalization.

关 键 词：复值度量空间 F-压缩 叠合点 

分 类 号：O177.91[理学—数学]