English

On the notion of fuzzy shadowing property

Dynamical Systems 2015-05-28 v1

Abstract

This paper is concerned with the study of fuzzy dynamical systems. Let (X;M; *) be a fuzzy metric space in the sense of George and Veeramani. A fuzzy discrete dynamical system is given by any fuzzy continuous self-map defined on X. We introduce the various fuzzy shadowing and fuzzy topological transitivity on a fuzzy discrete dynamical systems. Some relations between this notions have been proved.

Keywords

Cite

@article{arxiv.1505.07287,
  title  = {On the notion of fuzzy shadowing property},
  author = {Mehdi Fatehi Nia},
  journal= {arXiv preprint arXiv:1505.07287},
  year   = {2015}
}