Research Article Open Access

Nearly Partial Derivations on Banach Ternary Algebras

M. Eshaghi1, M. B. Savadkouhi1, M. Bidkham1, C. Park1 and J. R. Lee1
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Abstract

Problem statement: In this study, we introduce the concept of a partial ternary derivation from A1 ×···× An into B, where A1, A2···, An and B are ternary algebras. Conclusion/Recommendations: We prove the generalized Hyers-Ulam stability of partial ternary derivations in Banach ternary algebras.

Journal of Computer Science
Volume 6 No. 4, 2010, 454-461

DOI: https://doi.org/10.3844/jcssp.2010.454.461

Submitted On: 29 August 2010 Published On: 31 December 2010

How to Cite: Eshaghi, M., Savadkouhi, M. B., Bidkham, M., Park, C. & Lee, J. R. (2010). Nearly Partial Derivations on Banach Ternary Algebras. Journal of Computer Science, 6(4), 454-461. https://doi.org/10.3844/jcssp.2010.454.461

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Keywords

  • Banach ternary algebra
  • ternary derivation
  • generalized Hyers-Ulam stability
  • natural generalization
  • scalar field
  • stability of homomorphisms
  • stability of derivations
  • approximate derivations