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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

A FIXED POINT APPROACH TO THE STABILITY OF THE QUADRATIC-ADDITIVE FUNCTIONAL EQUATION

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.313-328
https://doi.org/10.7468/jksmeb.2011.18.4.313
Jin, Sun-Sook
Lee, Yang-Hi

Abstract

We investigate the stability of the functional equation f(x+y+z+w)+2f(x)+2f(y)+2f(z)+2f(w)-f(x+y)-f(x+z)-f(x+w)-f(y+z)-f(y+w)-f(z+w)=0 by using a flxed point theorem in the sense of L. C<TEX>$\breve{a}$</TEX>adariu and V. Radu.

keywords
Hyers-Ulam-Rassias stability, fixed point method, quadratic-additive functional equation

Reference

1.

(1999). . J. Math. Anal. Appl., 238, 305-315. 10.1006/jmaa.1999.6546.

2.

(2000). . J. Math. Anal. Appl., 246, 627-638. 10.1006/jmaa.2000.6832.

3.

(2000). . J. Korean Math. Soc., 37, 111-124.

4.

(2000). . Proc. Amer. Math. Soc., 128, 1361-1369. 10.1090/S0002-9939-99-05156-4.

5.

(1968). . Bull. Amer. Math. Soc., 74, 305-309. 10.1090/S0002-9904-1968-11933-0.

6.

(1978). . Proc. Amer. Math. Soc., 72, 297-300. 10.1090/S0002-9939-1978-0507327-1.

7.

8.

9.

(2003). . J. Inequal. Pure Appl. Math., 4(1).

10.

(2003). . An. Univ. Timisoara Ser. Mat.-Inform., 41, 25-48.

11.

(2004). . Grazer Mathematische Berichte, 346, 43-52.

12.

(2003). . Math. Inequal. Appl., 6, 87-95.

13.

(1994). . J. Math. Anal. Appl., 184, 431-436. 10.1006/jmaa.1994.1211.

14.

(1941). . Proc. Natl. Acad. Sci., 27, 222-224. 10.1073/pnas.27.4.222.

15.

(2001). . Math. Inequal. Appl., 4, 257-266.

16.

(2006). . J. Math. Anal. Appl., 324, 358-372. 10.1016/j.jmaa.2005.11.053.

17.

(2008). . Bull. Korean Math. Soc., 45, 397-403. 10.4134/BKMS.2008.45.2.397.

18.

(1950). . J. Math. Soc. Japan, 2, 64-66. 10.2969/jmsj/00210064.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics