Ulam Stability of Quadratic Mapping Connected With Homomorphisms and Derivations in Non-Archimedean Banach Algebras

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DOI: https://doi.org/10.28924/2291-8639-23-2025-119
Published: May 16, 2025
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Gowri Senthil, A. P. Pushpalatha, N. Vijaya, V. Sreelatha Devi, M. Balamurugan, A. Ramachandran, K. Tamilvanan, Ulam Stability of Quadratic Mapping Connected With Homomorphisms and Derivations in Non-Archimedean Banach Algebras, Int. J. Anal. Appl., 23 (2025), 119.

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Gowri Senthil, A. P. Pushpalatha, N. Vijaya, V. Sreelatha Devi, M. Balamurugan, A. Ramachandran, K. Tamilvanan

Abstract

This study presents a novel quadratic functional equation. The primary objective of this study is to examine the stability of a quadratic functional equation associated with homomorphisms and derivations (briefly, hom-der) in non-Archimedean Banach algebras through direct and fixed point methodologies. Furthermore, we offer examples wherein the stability of this quadratic functional equation can be regulated by the summation and multiplication of powers of norms.

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