E-度量空间中Hardy-Rogers型压缩映射不动点定理  

Fixed Point Theorem for Hardy-Rogers Type Contraction Mapping in E-Metric Spaces

作　　者：王茹佳 江秉华 黄华平 WANG Rujia;JIANG Binghua;HUANG Huaping(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China;School of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou 404020,China)

机构地区：[1]湖北师范大学数学与统计学院,黄石435002 [2]重庆三峡学院数学与统计学院,万州404020

出　　处：《应用泛函分析学报》2019年第4期362-368,共7页Acta Analysis Functionalis Applicata

基　　金：重庆三峡学院引进人才科研启动基金(20190020)。

摘　　要：本文探讨了E-度量空间中与半内点有关的拓扑性质,得到了非体锥条件下该空间中的Hardy-Rogers型压缩映射不动点定理,其结果大大推广了前人的工作.In this paper,some topological properties with regard to semi-interior points in E-metric spaces are discussed,and some fixed point theorems for Hardy-Rogers type contraction mapping under non-solid cones in such spaces are also obtained.Our results greatly generalize some previous ones in the literature.

关 键 词：E-度量空间 半内点 Hardy-Rogers型压缩映射 不动点 

分 类 号：O177.91[理学—数学]