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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.23 No.3

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ERRATUM: “ A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS ” [J. MATH. PHYS. 51, 103508 (2010)]

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2016, v.23 no.3, pp.237-246
https://doi.org/10.7468/jksmeb.2016.23.3.237
YUN, SUNGSIK
GORDJI, MADJID ESHAGHI
SEO, JEONG PIL
YUN,, S. , GORDJI,, M. E. , & SEO,, J. P. (2016). ERRATUM: “ A FIXED POINT METHOD FOR PERTURBATION OF BIMULTIPLIERS AND JORDAN BIMULTIPLIERS IN C*-TERNARY ALGEBRAS ” [J. MATH. PHYS. 51, 103508 (2010)]. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(3), 237-246, https://doi.org/10.7468/jksmeb.2016.23.3.237

Abstract

Ebadian et al. proved the Hyers-Ulam stability of bimultipliers and Jordan bimultipliers in C*-ternary algebras by using the fixed point method. Under the conditions in the main theorems for bimultipliers, we can show that the related mappings must be zero. Moreover, there are some mathematical errors in the statements and the proofs of the results. In this paper, we correct the statements and the proofs of the results, and prove the corrected theorems by using the direct method.

keywords
Hyers-Ulam stability, bi-additive mapping, C*-ternary algebra, bimultiplier, Jordan bimultiplier

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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