상세 보기
초록
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.
키워드
Hyers-Ulam stability; bi-additive mapping; fixed point; Lie triple system; bihomomorphism; biderivation; ASTERISK-HOMOMORPHISMS; BI-DERIVATIONS; STABILITY; SUPERSTABILITY; EQUATION
- 제목
- THE FIXED POINT METHOD FOR PERTURBATION OF BIHOMOMORPHISMS AND BIDERIVATIONS IN NORMED 3-LIE SYSTEMS: REVISITED
- 저자
- Park, Choonkil; Lee, Jung Rye; Shim, Eon Wha; Shin, Dong Yun
- 발행일
- 2015-06
- 유형
- Article
- 권
- 18
- 호
- 6
- 페이지
- 984 ~ 992