摘要
在模糊度量空间中研究两类Φ-压缩映象,并在完备和G完备的模糊度量空间中建立这两类Φ-压缩映象的一些不动点定理,同时使用模糊度量空间Φ压缩映象不动点定理讨论了起源于动态规划的一类泛函方程解的存在性与唯一性.
Two classes of Φ-contractive mappings in fuzzy metric spaces was studied and some fixed point theorems for two classes of Φ-contractive mappings incomplete and G complete fuzzy metric spaces were established, and also the existence and uniqueness of solutions for a class of functional equations arising in dynamic programming was discussed by using the fixed point theorem for this class of Φ-contractive mappings in fuzzy metric spaces.
出处
《南通大学学报（自然科学版）》
CAS
2017年第3期66-71,共6页
Journal of Nantong University(Natural Science Edition)
基金
国家自然科学基金项目(11371070)
关键词
模糊度量空间
Φ-压缩映象
不动点
泛函方程
动态规划
fuzzy metric spaces
Φ-contractive mappings
fixed point
functional equations
dynamic programming
