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초록
Using the direct and fixed point methods, we obtain the solution and prove the Hyers-Ulam stability of the l-variable cubic functional equation f(Sigma(l)(i=1) x(i)) + Sigma(l)(j=1) f (-lx(j) + Sigma(l)(i=1i not equal j) x(i)) = - 2(l + 1) Sigma(i=1),(l)(i not equal j not equal k) f(x(i) + x(j) + x(k)) + (3l(2) - 2l - 5) Sigma(i=1),(l)(i not equal j) f(x(i) + x(j)) - 3(l(3) - l(2) - l + 1) Sigma(l)(i=1) f(x(i)), l is an element of N, l >= 3, in random normed spaces.
키워드
Cubic functional equation; fixed point; Hyers-Ulam stability; random normed space; ULAM-RASSIAS STABILITY; EQUATION
- 제목
- STABILITY OF AN <i>l</i>-VARIABLE CUBIC FUNCTIONAL
- 제목 (타언어)
- STABILITY OF AN l-VARIABLE CUBIC FUNCTIONAL EQUATION
- 저자
- Govindan, Vediyappan; Pinelas, Sandra; Lee, Jung Rye; Park, Choonkil
- 발행일
- 2023-12
- 유형
- Article
- 권
- 47
- 호
- 6
- 페이지
- 851 ~ 864