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http://dx.doi.org/10.7468/jksmeb.2016.23.3.237

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

YUN, SUNGSIK (DEPARTMENT OF FINANCIAL MATHEMATICS, HANSHIN UNIVERSITY)
GORDJI, MADJID ESHAGHI (DEPARTMENT OF MATHEMATICS, SEMNAN UNIVERSITY)
SEO, JEONG PIL (OHSANG HIGH SCHOOL)
Publication Information
The Pure and Applied Mathematics / v.23, no.3, 2016 , pp. 237-246 More about this Journal
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;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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