Ulam-Type Stability in Non-Archimedean Banach Algebras
DOI:
https://doi.org/10.29304/jqcsm.2026.18.32787Keywords:
Hyers-Ulam Stability, Non-Archimedean space, Fixed Point, Generalized Metric space, Banach Algebras, Functional Equation, Stability of Functional Equation, Complete, Homomorphism, AdditiveAbstract
This paper studies the Ulam-type stability of functional equations in non-Archimedean Banach algebras. Conditions are established under which approximate solutions of the considered functional equations are close to exact solutions. The obtained results generalize and extend several known stability results in non-Archimedean settings. These findings contribute to a deeper understanding of stability theory in the framework of non-Archimedean Banach algebras with the functional equation:
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