Homomorphisms and derivations on C*-ternary algebras assocoated with a generalized Cauchy-Jensen type additive functional equation

Authors

  • Soo Hwan Kim Department of Mathematics Dong-eui University Busan 614-714, Korea
  • Seong Sik Kim Dongeui University, Busan 614-714.
  • John Michael Rassias Section of Mathematics and Informatics, National and Capodistrian University of Athens.

DOI:

https://doi.org/10.24297/jap.v4i3.2018

Keywords:

∁*-ternary homomorphism, ∁*-ternary derivation, Generalized Cauchy-Jensen type equation, Generalized Hyers-Ulam stability, ∁*-ternary algebras.

Abstract

In this paper, we prove the generalized Hyers-Ulam stability of C∗-ternary homomorphisms and C∗-ternary derivations on C∗-ternary algebras associated with the generalized Cauchy-Jensen type additive functional equation

for all xi; xj ∈ X where n ∈ Z+ is a fixed integer with n ≥ 3.

 

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Author Biographies

Soo Hwan Kim, Department of Mathematics Dong-eui University Busan 614-714, Korea

Department of Mathematics

Seong Sik Kim, Dongeui University, Busan 614-714.

Department of Mathematics

John Michael Rassias, Section of Mathematics and Informatics, National and Capodistrian University of Athens.

Pedagogical Department E.E.

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Published

2014-06-26

How to Cite

Kim, S. H., Kim, S. S., & Rassias, J. M. (2014). Homomorphisms and derivations on C*-ternary algebras assocoated with a generalized Cauchy-Jensen type additive functional equation. JOURNAL OF ADVANCES IN PHYSICS, 4(3), 662–668. https://doi.org/10.24297/jap.v4i3.2018

Issue

Vol. 4 No. 3

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.