Abstract
In this paper we will consider various kinds of chaotic points of multifunctions and show their application to the theory of infinite topological games.
Citation
Ryszard J. Pawlak. "Chaotic Points of Multifunctions." Taiwanese J. Math. 26 (4) 799 - 830, August, 2022. https://doi.org/10.11650/tjm/220402
Information
Received: 20 October 2021; Revised: 25 January 2022; Accepted: 10 April 2022; Published: August, 2022
First available in Project Euclid: 21 April 2022
MathSciNet: MR4484272
zbMATH: 1504.37023
Digital Object Identifier: 10.11650/tjm/220402
Subjects:
Primary:
32A12
,
37B55
,
54B20
,
54C60
,
74H65
,
91A06
Keywords:
$e$-chaotic point
,
$l$- and $u$-chaotic point
,
$m$-DC1 function (multifunction)
,
chaos
,
distributionally chaotic point
,
dynamical system
,
Entropy
,
Hausdorff metric
,
multifunction
,
strategy
,
topological game
Rights: Copyright © 2022 The Mathematical Society of the Republic of China