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.
Delay difference equations, contractive difference equations, fixed-point theory, population dynamics, integrodifference equations, global attractivity
"Global attractivity of delay difference equations in Banach spaces via fixed-point theory,"
Turkish Journal of Mathematics: Vol. 45:
4, Article 20.
Available at: https://journals.tubitak.gov.tr/math/vol45/iss4/20