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The Hyers–Ulam stability of an additive-quadratic s-functional inequality in Banach spaces
The Hyers–Ulam stability of an additive-quadratic <i>s</i>-functional inequality in Banach spaces
- Chaobankoh, Tanadon;
- Suparatulatorn, Raweerote;
- Park, Choonkil;
- Cho, Yeol Je
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2초록
For any fixed s is an element of {z is an element of C : z not equal 0 and vertical bar z vertical bar < 1}, we consider the following functional inequality: parallel to f(a + a', c + c') + f(a + a', c - c') + f(a - a', c + c') + f(a - a', c - c')-4f(a, c) - 4f(a, c')parallel to <= parallel to s(2f(a + a', c - c') +2f(a-a', c+c')-4f(a, c) - 4f(a, c') + 4f(a', c'))parallel to. (1) In this paper, we obtain the Hyers-Ulam stability of the proposed functional inequality using the direct and fixed point methods.
키워드
Hyers-Ulam stability; Additive-quadratic functional inequality; Fixed point method; Direct method; EQUATION
- 제목
- The Hyers–Ulam stability of an additive-quadratic s-functional inequality in Banach spaces
- 제목 (타언어)
- The Hyers–Ulam stability of an additive-quadratic <i>s</i>-functional inequality in Banach spaces
- 저자
- Chaobankoh, Tanadon; Suparatulatorn, Raweerote; Park, Choonkil; Cho, Yeol Je
- 발행일
- 2024-04
- 유형
- Article
- 권
- 73
- 호
- 2
- 페이지
- 1029 ~ 1044