D*-度量空间中新型F-压缩条件下的不动点定理  

Some new fixed point theorems under F-contractive conditions in D*-metric spaces

作　　者：陶陶 薛西锋 张学智 TAO Tao;XUE Xi-feng;ZHANG Xue-zhi(School of Mathematics,Northwest University,Xi'an 710127,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《东北师大学报（自然科学版）》2020年第1期26-30,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(202030009).

摘　　要：基于完备的D-度量空间,提出了新型F-压缩映射定理,并对其进行了证明.随后引入了关于两个自映射的公共不动点定理,并对其存在性和唯一性进行了研究.所得结果在很大程度上改变了已有文献的相关结论.Based on the concept of D*-complete metric spaces,the notions of new F-contractive mappings theorem are firstly put forward,and the properties of fixed points are discussed.Then the common fixed point theorems for two self-mappings are proved,as the same as their existence and uniqueness are proved,which improved and generalized the corresponding results largely.

关 键 词：新型F-压缩映射 D-度量空间 公共不动点定理 

分 类 号：O177.91[理学—数学]