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초록
In this paper, we solve the quadratic alpha-functional equations 2f(x) + 2f(y) = f(x + y) + alpha(-2) f(alpha(x - y)), (0.1) where a is a fixed non-Archimedean number with a(-2) not equal 3. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the functional equation (0.1) in non-Archimedean Banach spaces.
키워드
Hyers-Ulam stability; non-Archimedean normed space; direct method; fixed point; quadratic alpha-functional equation; NORMED SPACES; BANACH-SPACES; STABILITY; INEQUALITIES; THEOREM
- 제목
- Quadratic α-functional equations
- 저자
- Park, Choonkil; Kim, Sang Og
- 발행일
- 2017-00
- 유형
- Article
- 저널명
- INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS
- 권
- 8
- 호
- 1
- 페이지
- 1 ~ 9