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초록
In this paper, we introduce a new quadratic functional equation. In light of this equa-tion, we define the multi-quadratic mappings and reduce the system of n equations defining the multi-quadratic mappings to a single equation. We also obtain some stability and hyperstability results concerning multi-quadratic mappings in the setting of random normed spaces.
키워드
classification Hyers-Ulam stability; random normed space; -quadratic mapping; FUNCTIONAL-EQUATIONS
- 제목
- RANDOM STABILITY AND HYPERSTABILITY OF MULTI-QUADRATIC MAPPINGS
- 저자
- Park, Choonkil; Bodaghi, Basalt; Alias, Idham Arif
- 발행일
- 2022-09
- 유형
- Article
- 권
- 16
- 호
- 3
- 페이지
- 993 ~ 1004