广义度量空间中一类弱压缩映射不动点  

Fixed Points of a Class of Weakly Contractive Mappings in Generalized Metric Spaces

作　　者：张芳 薛志群 ZHANG Fang;XUE Zhiqun(Sifang College,Shijiazhuang Tiedao University,Shijiazhuang 051133,China;Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]石家庄铁道大学四方学院,石家庄051133 [2]石家庄铁道大学数理系,石家庄050043

出　　处：《河北师范大学学报(自然科学版)》2025年第2期109-114,共6页Journal of Hebei Normal University:Natural Science

基　　金：河北省自然科学基金(A2015210098)。

摘　　要：本文研究了广义度量空间上自映射不动点的存在性问题.通过引入2个新的函数,建立了映射的弱压缩条件,并且获得了Branciari型广义度量空间上弱压缩映射具有唯一不动点的定理,所得结果推广并改进了已知不动点定理。This paper investigates the existence of fixed points for self-mappings in generalized metric spaces.By introducing two new functions,we establish weak contraction conditions for mappings and obtain a unique fixed point theorem for a class of weakly contractive mappings in Branciari-type complete generalized metric spaces.The obtained results generalize and improve existing fixed point theorems.

关 键 词：不动点 广义度量空间 弱压缩映射 极限 

分 类 号：O177.9[理学—数学]