The periodic points of ε-contractive maps in fuzzy metric spaces

The periodic points of ε-contractive maps in fuzzy metric spaces

In this paper, we introduce the notion of ε-contractive maps in fuzzy metric space (X, M, ∗) and study the periodicities of ε-contractive maps. We show that if (X, M, ∗) is compact and f : X −→ X is ε-contractive, then P(f) = ∩ ∞n=1f n (X) and each connected component of X contains at most one perio...

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Bibliographic Details
Main Authors: Taixiang Sun, Caihong Han, Guangwang Su, Bin Qin, Lue Li
Format: Article
Language:English
Published: Universitat Politècnica de València 2021-10-01
Series:Applied General Topology
Subjects:
fuzzy metric space
ε-contractive map
periodic point
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/14449

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