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, M, AZHINI, M, & REZAPOUR, S (2024). Some new results on generalized Hyers-Ulam stability in modular function spaces. Turkish Journal of Mathematics 48 (3): 498-514. https://doi.org/10.55730/1300-0098.3521
