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

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.