Research articles
ScienceAsia 47 (2021):ID 126-130 |doi:
10.2306/scienceasia1513-1874.2021.011
Hyers-Ulam stability of iterative equations in Banach
spaces
Xi Wang
ABSTRACT: In the present paper, we discuss the Hyers-Ulam stability of the equation G f (f (x)) = F f (x) in a Banach
space. By constructing a uniformly convergent sequence of functions, we prove that if one can find an approximate
solution of such an equation, then there must be a unique solution close to the approximate solution.
Download PDF
62 Downloads 1103 Views
| a |
Faculty of Mathematics and Statistics, Changchun University of Technology, Changchun 130012 China |
* Corresponding author, E-mail: wangxi@ccut.edu.cn
Received 20 Aug 2020, Accepted 23 Dec 2020
|
