Fuzzy stability of an additive-quartic functional equation: A fixed point approach

Park, Choon kil; Rassias, Themistocles M.

doi:10.1007/978-1-4614-0055-4_20

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Fuzzy stability of an additive-quartic functional equation: A fixed point approach

Park, Choon kil;
Rassias, Themistocles M.

Citations

SCOPUS

2

초록

Mirmostafaee, Mirzavaziri and Moslehian have investigated the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces. Using the fixed point method, we prove the generalized Hyers?Ulam stability of the following additive-quartic functional equation (2x+y) + f(2x?y) = 2f(x+y) + 2f(?x?y) + 2f(x?y) + 2f(y?x) + 14f(x)+10f(?x)?3f(y)?3f(?y) in fuzzy Banach spaces.

키워드

Additive mapping; Fixed point; Fuzzy Banach space; Generalized Hyers?Ulam stability; Quartic mapping

제목: Fuzzy stability of an additive-quartic functional equation: A fixed point approach

저자: Park, Choon kil; Rassias, Themistocles M.

DOI: 10.1007/978-1-4614-0055-4_20

발행일: 2012-06

유형: Book Chapter

저널명: Springer Optimization and Its Applications

권: 52

페이지: 247 ~ 260