A Study on Stability Of Γ-Derivations on Γ-Banach Algebras

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Md Shahidul Islam Khan
Abdul Halim Ahmed

Abstract

Let V be a -Banach Algebra. A mapping  is called -derivation if  for all  and  In the present article, we establish the Hyers-Ulam-Rassias stability of -derivation on -Banach Algebras through direct method. We also study the stability of -derivations associated with the Cauchy functional equation  on -Banach Algebras.

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How to Cite
Md Shahidul Islam Khan, & Abdul Halim Ahmed. (2024). A Study on Stability Of Γ-Derivations on Γ-Banach Algebras. Educational Administration: Theory and Practice, 30(1), 3349–3353. https://doi.org/10.53555/kuey.v30i1.7167
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Author Biographies

Md Shahidul Islam Khan

Department of  Mathematics, Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, Amjonga, Goalpara, Assam, India

 

Abdul Halim Ahmed

Department of  Mathematics, Nabajyoti College, Kalgachia, Barpeta, Assam, India

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