B-Implicit Contractive Conditions and Unique（Common） Fixed Points on Complex Valued Metric Spaces  

作　　者：PIAO Yong-jie 

机构地区：[1]Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China

出　　处：《Chinese Quarterly Journal of Mathematics》2018年第2期212-220,共9页数学季刊（英文版）

基　　金：Supported by NNSF of China(No.11361064)

摘　　要：A class B of complex functions is introduced and several existence theorems of unique(common) fixed points for mappings satisfying a B-implicit contraction are presented.Moreover, the existence results of common fixed points for two mappings on a nonempty set with two complex valued metrics are provided. Our outcomes generalize and improve some known results, especially, for instance, Banach contraction principle, Chatterjea-type fixed point theorem and the corresponding fixed point theorems.A class B of complex functions is introduced and several existence theorems of unique（common） fixed points for mappings satisfying a B-implicit contraction are presented.Moreover, the existence results of common fixed points for two mappings on a nonempty set with two complex valued metrics are provided. Our outcomes generalize and improve some known results, especially, for instance, Banach contraction principle, Chatterjea-type fixed point theorem and the corresponding fixed point theorems.

关 键 词：Complex valued metric space (Common) Fixed point B-implicit contraction 

分 类 号：O177.91[理学—数学] O189.11[理学—基础数学]