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A FIXED POINT APPROACH TO THE CAUCHY-RASSIAS STABILITY OF GENERAL JENSEN TYPE QUADRATIC-QUADRATIC MAPPINGS

박춘길|M. Eshaghi Gordji|H. Khodaei
대한수학회 (The Korean Mathematical Society)|2010.09|대한수학회보 (Bulletin of the KMS)|제47권 제5호|pp. 987-996

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키워드

quadratic mappingfixed point methodCauchy-Rassias stability
주제분류수학

초록

In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation:[수식]f(sx + ty 2+ rz) + f(sx + ty 2− rz) + f(sx − ty 2+ rz) + f(sx − ty 2− rz)= s2f(x) + t2f(y) + 4r2f(z)for any fixed nonzero integers s, t, r with r ≠ ±1.

Abstract

In this paper, we investigate the Cauchy-Rassias stability in Banach spaces and also the Cauchy-Rassias stability using the alternative fixed point for the functional equation:[수식]f(sx + ty 2+ rz) + f(sx + ty 2− rz) + f(sx − ty 2+ rz) + f(sx − ty 2− rz)= s2f(x) + t2f(y) + 4r2f(z)for any fixed nonzero integers s, t, r with r ≠ ±1.

참고문헌 (29)

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