Turkish Journal of Mathematics
DOI
10.3906/mat-2012-66
Abstract
We formulate initial value problems for delay difference equations in Banach spaces as fixed-point problems in sequence spaces. By choosing appropriate sequence spaces various types of attractivity can be described. This allows us to establish global attractivity by means of fixed-point results. Finally, we provide an application to delay integrodifference equations in the space of continuous functions over a compact domain.
Keywords
Delay difference equations, contractive difference equations, fixed-point theory, population dynamics, integrodifference equations, global attractivity
First Page
1738
Last Page
1756
Recommended Citation
KALKAN, ABDULLAH
(2021)
"Global attractivity of delay difference equations in Banach spaces via fixed-point theory,"
Turkish Journal of Mathematics: Vol. 45:
No.
4, Article 20.
https://doi.org/10.3906/mat-2012-66
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss4/20
