Vol. 8 No. 2 (2024): Vol 8, Iss 2, Year 2024
Articles

Homomorphisms And Derivations of a Generalized Functional Equation in Various Algebras

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  • Arunkumar M,
  • Sathya E,
  • Divyakumari P
Arunkumar M
Department of Mathematics, Kalaignar Karunanidhi Government Arts College, Tiruvannamalai - 606 603, Tamil Nadu, India.
Sathya E
Department of Mathematics, Kalaignar Karunanidhi Government Arts College, Tiruvannamalai - 606 603, Tamil Nadu, India.
Divyakumari P
Department of Mathematics, Don Bosco College (Co-Ed), Yelagiri Hills,Tirupattur - 635 853, Tamil Nadu, India
DOI: https://doi.org/10.26524/cm200
Published December 7, 2024
Keywords
  • Functional equation, Generalized Hyers-Ulam stability, Banach Algebras, Quasi -Banach Algebras, C* Algebras, Lie C* Algebras, Jordan C* Algebras.
How to Cite
Arunkumar M, Sathya E, & Divyakumari P. (2024). Homomorphisms And Derivations of a Generalized Functional Equation in Various Algebras. Journal of Computational Mathematica, 8(2), 105 - 127. https://doi.org/10.26524/cm200

Abstract

In this paper, we investigate the generalized Ulam - Hyers stability of homomorphisms and derivations of a generalized additive functional equation in Banach, Quasi - Banach, C*, Lie C*, Jordan C* Algebras.

 

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