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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제34권 제5호
- 발행연도
- 2016.1
- 수록면
- 509 - 517 (9page)
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In this paper, we consider the following functional equation with involution f(x + y) + f(x + σ(y)) = 2f(x) + f(y) + f(σ(y)) and prove the generalized Hyers-Ulam stability for it when the target space is a non-Archimedean Banach space.
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참고문헌 (14)
참고문헌 신청
T. Aoki / 1950 / On the stability of the linear transformation in Banach spaces / J. Math. Soc. Japan 2:64~66
B. Boukhalene / 2007 / On the generalized Hyers-Ulam stability of the quadratic functional equation with a general involution / Nonlinear Funct. Anal. Appl 12:247~262
B. Boukhalene / 2008 / On the Hyers-Ulam stability of approximately pexider mappings / Math. Ineqal. Appl 11:805~818
S. Czerwik / 2002 / Functional equations and Inequalities in several variables / World Scientific
J. Diaz / 1968 / A fixed point theorem of the alternative for contractions on a generalized complete metric space / Bull. Amer. Math. Soc 74:305~309
B. Boukhalene / 2007 / On the generalized Hyers-Ulam stability of the quadratic functional equation with a general involution / Nonlinear Funct. Anal. Appl 12:247~262
B. Boukhalene / 2008 / On the Hyers-Ulam stability of approximately pexider mappings / Math. Ineqal. Appl 11:805~818
S. Czerwik / 2002 / Functional equations and Inequalities in several variables / World Scientific
J. Diaz / 1968 / A fixed point theorem of the alternative for contractions on a generalized complete metric space / Bull. Amer. Math. Soc 74:305~309
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