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Functional equations in orthogonality spaces

신동윤|박춘길
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2012.03|한국수학논문집 (Korean Journal of Mathematics)|제20권 제1호|pp. 77-89

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참고문헌

키워드

fixed pointHyers-Ulam stabilityorthogonality space.orthogonally additive functional equationorthogonally quadratic functional equation
주제분류수학

초록

Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive functional equation (0.1) f (2x + y) = 2f(x) + f(y)and of the orthogonally quadratic functional equation 2f (x 2+ y )+ 2f (x 2− y )(0.2) = f(x) + 4f(y)for all x; y with x ⊥ y in orthogonality spaces.

Abstract

Using fixed point method, we prove the Hyers-Ulam stability of the orthogonally additive functional equation (0.1) f (2x + y) = 2f(x) + f(y)and of the orthogonally quadratic functional equation 2f (x 2+ y )+ 2f (x 2− y )(0.2) = f(x) + 4f(y)for all x; y with x ⊥ y in orthogonality spaces.

참고문헌 (46)

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