Solution and stability of quartic functional equations in modular spaces by using Fatou property

DOI10.1155/2022/5965628zbMath1491.39020OpenAlexW4229013545MaRDI QIDQ2672517

Hemant Kumar Nashine, K. Tamilvanan, N. Uthirasamy, Reny George

Publication date: 10 June 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/5965628

zbMATH Keywords

Hyers-Ulam stabilityFatou property

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for complex functions (39B32)

Cites Work

• On the generalized Ulam-Hyers-Rassias stability of quadratic mappings in modular spaces without \(\Delta_2\)-conditions
• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Orlicz spaces and modular spaces
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• On the Stability of the Linear Mapping in Banach Spaces
• Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays
• The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
• Stability of functional equations in several variables
• Uniformly Lipschitzian mappings in modular function spaces
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