直觉模糊度量空间中广义直觉模糊F-压缩的不动点定理  

Fixed point theorems concerning generalized intuitionistic fuzzy F-contraction in intuitionistic fuzzy metric space

作　　者：王锦鑫 杨理平[1] WANG Jinxin;YANG Liping(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510520,China)

机构地区：[1]广东工业大学应用数学学院,广东广州510520

出　　处：《仲恺农业工程学院学报》2022年第2期45-50,共6页Journal of Zhongkai University of Agriculture and Engineering

基　　金：国家自然科学基金(61374081);广东省自然科学基金(2015A030313485);广州市科技计划(201707010494)资助项目.

摘　　要：定义了直觉模糊度量空间上的Hausdorff度量,将F-压缩的定义推广到了直觉模糊度量空间上的映射上,研究了直觉模糊度量空间中单值映射的公共不动点定理与多值映射的不动点的存在性问题,使得在该空间中单值映射不动点定理可以往多值映射不动点定理方向上推广.Hausdorff metric on the intuitionistic fuzzy metric space was defined and the definition of F-contraction was generalized to the mapping in intuitionistic fuzzy metric space.On this basis,the common fixed point theorems for single-valued mappings and the existence of fixed points for multi-valued mappings in intuitionistic fuzzy metric spaces was studied.In this way,the fixed point theorem of single-valued mapping could be extended to the fixed point theorem of multi-valued mapping in this space.

关 键 词：直觉模糊度量空间 广义直觉模糊F-压缩 不动点定理 

分 类 号：O177.91[理学—数学]