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초록
The aim of this paper is to prove the stability (in the sense of Ulam) of the functional equation: f(x) = alpha(x)f(f(1)(x)) + beta(x)f(f(2)(x)), where alpha and beta are given real valued functions defined on a nonempty set S such that sup{|alpha(x)| : x is an element of S} < 1 and f(i)(x)(i = 1, 2) are given mappings.
키워드
Functional inequations; Hyers-Ulam stability; Banach space; HYERS-ULAM STABILITY; INEQUALITIES
- 제목
- The Stability of the Generalized Functional Equation
- 저자
- Lyu, Gang; Jiang, Yingxiu; Liu, Qi; Park, Choonkil
- 발행일
- 2025-07
- 유형
- Article
- 저널명
- EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
- 권
- 18
- 호
- 3
- 페이지
- 1 ~ 17