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THE FIXED POINT METHOD FOR PERTURBATION OF BIHOMOMORPHISMS AND BIDERIVATIONS IN NORMED 3-LIE SYSTEMS: REVISITED
- Issue Date
- Jun-2015
- Publisher
- Kluwer Academic Publishers
- Keywords
- Hyers-Ulam stability; bi-additive mapping; fixed point; Lie triple system; bihomomorphism; biderivation
- Citation
- Journal of Computational Analysis and Applications, v.18, no.6, pp 984 - 992
- Pages
- 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 18
- Number
- 6
- Start Page
- 984
- End Page
- 992
- ISSN
- 1521-1398
1572-9206
- Abstract
- Shari et al. [11] proved the Hyers-Ulam stability of bihomomorphisms and biderivations on normed 3-Lie systems by using the fixed point method. Under the conditions in the main theorems of [11, Section 2], we can show that the related mappings must be zero. In this paper, we correct the statements of the results in [11, Section 2], and prove the corrected theorems.
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