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| Ulam stability of a general functional equation in fuzzy modular spaces | |
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Fixed Point Theory, Volume 27, No. 2, 2026, 489-504, June 1st, 2026 DOI: 10.24193/fpt-ro.2026.2.02 Authors: Chaimaa Benzarouala, Lahbib Oubbi, Cemil Tunç Abstract: In this work we improve a fixed point result in fuzzy modular spaces. As application, we prove the Ulam stability of a general functional equation in \(\beta\)-homogeneous fuzzy modular spaces, generalizing some similar stability results published so far for fuzzy modular spaces. Key Words and Phrases: Fixed point method, function space, linear functional equations, fuzzy modular space, Banach contraction principle, Ulam stability. 2020 Mathematics Subject Classification: 39B05, 39B82, 03E72, 47H10, 45B05. Published on-line: June 1st, 2026. |