Turkish Journal of Mathematics
Abstract
In this work, we present a new weighted method for proving the generalized Hyers-Ulam stability for nonlinear Volterra integral equations in modular spaces. Using the same technique, we also prove the generalized Hyers- Ulam stability for nonlinear functional equations under Δ2 conditions. Fixed-point theorems in modular spaces form the foundation of our main conclusions.
DOI
10.55730/1300-0098.3521
Keywords
Fixed point, modular function space, nonlinear functional equation, Volterra integral equation, weightedspace method
First Page
498
Last Page
514
Recommended Citation
TALIMAN, MOZHGAN; AZHINI, MAHDI; and REZAPOUR, SHAHRAM
(2024)
"Some new results on generalized Hyers-Ulam stability in modular function spaces,"
Turkish Journal of Mathematics: Vol. 48:
No.
3, Article 10.
https://doi.org/10.55730/1300-0098.3521
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss3/10
