TY - JOUR
A2 - Mirzazadeh, Mohammad
AU - Ji, Zhanjiang
PY - 2022
DA - 2022/01/07
TI - -Chain Mixing and -Chain Transitivity in Metric G-Space
SP - 1109686
VL - 2022
AB - Firstly, we introduce the concept of G-chain mixing, G-mixing, and G-chain transitivity in metric G-space. Secondly, we study their dynamical properties and obtain the following results. (1) If the map f has the G-shadowing property, then the map f is G-chain mixed if and only if the map f is G-mixed. (2) The map f is G-chain transitive if and only if for any positive integer k≥2, the map fk is G-chain transitive. (3) If the map f is G-pointwise chain recurrent, then the map f is G-chain transitive. (4) If there exists a nonempty open set U satisfying GU=U, U¯≠X, and fU¯⊂U, then we have that the map f is not G-chain transitive. These conclusions enrich the theory of G-chain mixing, G-mixing, and G-chain transitivity in metric G-space.
SN - 1687-9120
UR - https://doi.org/10.1155/2022/1109686
DO - 10.1155/2022/1109686
JF - Advances in Mathematical Physics
PB - Hindawi
KW -
ER -