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In this paper, I investigate the stability of the functional equation f(x + 2y) - 3f(x + y) + 3f(x) - f(x - y) - 3f(y) + 3f(-y) = 0 by using the fixed point theory in the sense of L. $C{\breve{a}}dariu$ and V. Radu.
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참고문헌 (9)
참고문헌 신청
L. Cădariu / 2003 / Fixed points and the stability of quadratic functional equations / An. Univ. Timisoara Ser. Mat.-Inform 41:25~48
L. Cădariu / 2004 / On the stability of the Cauchy functional equation: a fixed point approach in Iteration Theory / Grazer Mathematische Berichte 346:43~52
S. Czerwik / 1992 / On the stability of the quadratic mapping in the normed space / Abh. Math. Sem. Hamburg 62:59~64
J. B. Diaz / 1968 / A fixed point theorem of the alternative for contrac-tions on a generalized complete metric space / Bull. Amer. Math. Soc 74:305~309
P. Găvruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings / J. Math. Anal. and Appl 184:431~436
L. Cădariu / 2004 / On the stability of the Cauchy functional equation: a fixed point approach in Iteration Theory / Grazer Mathematische Berichte 346:43~52
S. Czerwik / 1992 / On the stability of the quadratic mapping in the normed space / Abh. Math. Sem. Hamburg 62:59~64
J. B. Diaz / 1968 / A fixed point theorem of the alternative for contrac-tions on a generalized complete metric space / Bull. Amer. Math. Soc 74:305~309
P. Găvruta / 1994 / A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings / J. Math. Anal. and Appl 184:431~436
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