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Stability Problem of Hyers-Ulam-Rassias for Generalized Forms of Cubic Functional Equation 被引量:4
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作者 Dong Seung KANG hahng-yun chu 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第3期491-502,共12页
Let n≥2 be an integer number. In this paper, we investigate the generalized Hyers Ulam- Rassias stability in Banach spaces and also Banach modules over a Banach algebra and a C*-algebra and the stability using the a... Let n≥2 be an integer number. In this paper, we investigate the generalized Hyers Ulam- Rassias stability in Banach spaces and also Banach modules over a Banach algebra and a C*-algebra and the stability using the alternative fixed point of an n-dimensional cubic functional equation in Banach spaces:f(2∑j=1^n-1 xj+xn)+f(2∑j=1^n-1 xj-xn)+4∑j=1^n-1f(xj)=16f(∑j=1^n-1 xj)+2∑j=1^n-1(f(xj+xn)+f(xj-xn) 展开更多
关键词 Hyers Ulam-Rassias stability cubic mapping
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