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초록
In this paper, we study the Ulam stability and hyperstability of two general functional equations in several variables in 2-Banach spaces. Multi-additive and multi-Jensen functions are particular cases of these functional equations. We also improve the main results of Theorem 3 and Theorem 4 of [Cieplinski, K. Ulam stability of functional equations in 2-Banach spaces via the fixed point method. J. Fixed Point Theory Appl. 23 (2021), no. 3, Paper No. 33, 14 pp.] and their consequences.
키워드
Ulam stability; hyperstability; fixed point method; 2-Banach space; functional linear functional; MAPPINGS
- 제목
- APPROXIMATION OF TWO GENERAL FUNCTIONAL EQUATIONS IN 2-BANACH SPACES
- 저자
- Park, Choonkil; Najati, Abbas; Moghimi, Mohammad B.; Noori, Batool
- 발행일
- 2023-03
- 유형
- Article
- 권
- 17
- 호
- 1
- 페이지
- 153 ~ 162