CHAIN TRANSITIVITY FOR MAPS ON $G$-SPACES

Authors

  • A. Barzanouni Department of Mathematics, School of Mathematical Sciences, Hakim Sabzevari University, Sabzevar, Iran Author
  • E. Shah Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara, India Author

Keywords:

Chain transitive, chain recurrent points, $G$-space

Subjects:

37C85, 37C50, 37C75, 54H20

Abstract

We define and study the notion of chain transitivity for maps on $G$-spaces. Through examples we justify that the notion of $G$-chain transitivity depends on the action of $G$. Further, we obtain characterization of $G$-chain transitivity in terms of chain transitivity. A relation between $G$-chain transitivity and $G$-chain recurrent points of a map is also obtained.

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Published

2019-10-15

Issue

Vol. 71 No. 4 (2019): Vol. 71, Issue 4

Section

Articles

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Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.