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In this paper, I investigate a stability of the following set-valued functional equation $$f(x+3y){\oplus}10f(x+y){\oplus}7f(-x){\oplus}5f(x-y)=5f(x+2y){\oplus}f(x){\oplus}f(2x){\oplus}f(x-2y)$$ in the sense of P. $G{\check{a}}vruta$.
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참고문헌 (14)
참고문헌 신청
C. Castaing / 1977 / Convex analysis and measurable multifunctions / Lec. Notes in Math 580
H. Y. Chu / 2014 / On the stability of the generalized cubic set-valued functional equation / Appl. Math. Lett 37:7~14
P. Găvruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approxi-mately additive mappings / J. Math. Anal. Appl 184:431~436
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci. U.S.A 27:222~224
S. Y. Jang / 2013 / Hyers-Ulam stability of a generalized additive set-valued functional equation / J. Inequal. Appl 101:6
H. Y. Chu / 2014 / On the stability of the generalized cubic set-valued functional equation / Appl. Math. Lett 37:7~14
P. Găvruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approxi-mately additive mappings / J. Math. Anal. Appl 184:431~436
D. H. Hyers / 1941 / On the stability of the linear functional equation / Proc. Natl. Acad. Sci. U.S.A 27:222~224
S. Y. Jang / 2013 / Hyers-Ulam stability of a generalized additive set-valued functional equation / J. Inequal. Appl 101:6
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