International Journal of Mathematics and Mathematical Sciences
Volume 2011 (2011), Article ID 734567, 18 pages
http://dx.doi.org/10.1155/2011/734567
Research Article

Approximate Quartic and Quadratic Mappings in Quasi-Banach Spaces

M. Eshaghi Gordji,1 H. Khodaei,1 and Hark-Mahn Kim2

1Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon 305-764, Republic of Korea

Received 17 March 2011; Accepted 13 May 2011

Academic Editor: Petru Jebelean

Copyright © 2011 M. Eshaghi Gordji et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

we establish the general solution for a mixed type functional equation of aquartic and a quadratic mapping in linear spaces. In addition, we investigate the generalized Hyers-Ulam stability in 𝑝 -Banach spaces.