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STABILITY OF FUNCTIONAL EQUATIONS ASSOCIATED WITH INNER PRODUCT SPACES: A FIXED POINT APPROACH

노승현|허재성|남동훈|박춘길|민원준
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2008.09|한국수학논문집 (Korean Journal of Mathematics)|제16권 제3호|pp. 413-424

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참고문헌

키워드

generalized Hyers-Ulam stabilityquadratic mappingadditive mapping¯xed point
주제분류수학

초록

In [21], Th.M. Rassias proved that the norm de¯ned over a real vector space V is induced by an inner product if and only if for a ¯xed integer n ¸ 2 holds for all x1; ¢ ¢ ¢ ; xn 2 V . We consider the functional equation Using ¯xed point methods, we prove the generalized Hyers-Ulam stability of the functional equation

Abstract

In [21], Th.M. Rassias proved that the norm de¯ned over a real vector space V is induced by an inner product if and only if for a ¯xed integer n ¸ 2 holds for all x1; ¢ ¢ ¢ ; xn 2 V . We consider the functional equation Using ¯xed point methods, we prove the generalized Hyers-Ulam stability of the functional equation

참고문헌 (30)

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