2022/11/14 by Nageshwar, Rohit, Khan, Abdul Gaffar, Das, Tarun
#Dynamical Systems (math.DS) #FOS: Mathematics #Secondary: 37B65 #[2020] Primary: 37B20
paper · doi:10.48550/arxiv.2211.07167
In this paper, we define bi-asymptotically c-expansive maps on metric spaces and study its relationship with other variants of expansivity such as bi-asymptotically expansive maps and N-expansive maps. We also provide an example to establish that expansive homeomorphisms need not be bi-asymptotically expansive. Finally we prove a spectral decomposition theorem for bi-asymptotically c-expansive continuous surjective maps with the shadowing property on compact metric spaces.