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Fixed points and Lie bracket (ternary) derivation–derivation

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Abstract

In this paper, we introduce the concept of the generalized additive \(\rho\)-functional equation and Lie bracket ternary derivation-ternary derivation (briefly, Lie bracket (ternary) derivation–derivation) in ternary Lie algebras, and by using a fixed point method, we prove the stability of Lie bracket (ternary) derivation–derivation for generalized additive \(\rho\)-functional equation on ternary Lie algebras.

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Authors and Affiliations

  1. Department of Mathematics, Shiraz University of Technology, P. O. Box 71557-13876, Shiraz, Iran

    Vahid Keshavarz & Sedigheh Jahedi

Authors
  1. Vahid Keshavarz
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  2. Sedigheh Jahedi
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Correspondence to Vahid Keshavarz.

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The authors declare that they have no competing interests. All authors made an equal contribution to the paper. Both of them read and approved the final manuscript.

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Keshavarz, V., Jahedi, S. Fixed points and Lie bracket (ternary) derivation–derivation. J Anal 31, 1467–1477 (2023). https://doi.org/10.1007/s41478-022-00526-7

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