Iterated function systems and attractors in the KM fuzzy metric spaces

作者：Xiao, Jian-Zhong^*; Zhu, Xing-Hua; Jin, Pan-Pan

来源：Fuzzy Sets and Systems, 2015, 267: 100-116.

DOI：10.1016/j.fss.2014.07.004

• Fuzzy metric space
• Hyperspace
• Hausdorff fuzzy metric
• Attractor
• Iterated function system

Fractal attractors are considered as invariant sets for contraction mappings in hyperspaces of the KM fuzzy metric spaces. Using the properties of Hausdorff fuzzy metrics, several existence results of attractors are obtained for a finite family and a countable family of nonlinear contractions. In particular, unbounded invariant sets are also examined for the iterated function systems in KM fuzzy metric spaces. Our results are generalizations in some aspects and analogous to their counterparts in usual metric spaces.

• 出版日期2015-5-15
• 单位南京信息工程大学