Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3521
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.
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
