摘要
在模糊度量空间建立一类新的涉及4个映象的Altman型映象的公共不动点定理,所得结果改进和推广了一些已知结果。作为应用,本文还讨论了起源于动态规划的一类泛函方程组解的存在与唯一性。
In this paper,common fixed point theorems for a class new of Altman type mapping involving four mappings in complete fuzzy metric spaces are established.They improve and extend the corresponding results of some reference.As an application,we also discuss the existence and uniqueness of solutions for a class of functional equation systems arising in dynamic programming.
作者
张树义
张芯语
聂辉
ZHANG Shuyi;ZHANG Xinyu;NIE Hui(College of Mathematics and Physics,Bohai University,Jinzhou 121013 China)
出处
《西华大学学报(自然科学版)》
CAS
2019年第3期61-67,共7页
Journal of Xihua University:Natural Science Edition
基金
国家自然科学基金资助项目(11371070)
关键词
模糊度量空间
Altman映象
公共不动点
动态规划
泛函方程组
fuzzy metric space
Altman type mappings
common fixed point
dynamic programming
functional equation systems