Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 572062, 16 pages
http://dx.doi.org/10.1155/2011/572062
Research Article

Approximately Quintic and Sextic Mappings Form 𝑟 -Divisible Groups into Ŝerstnev Probabilistic Banach Spaces: Fixed Point Method

M. Eshaghi Gordji,1,2 Y. J. Cho,3 M. B. Ghaemi,4 and H. Majani4

1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Center of Excellence in Nonlinear Analysis and Applications (CENAA), Semnan University, Semnan, Iran
3Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea
4Department of Mathematics, Iran University of Science & Technology, Narmak, Tehran 16844, Iran

Received 1 September 2011; Accepted 12 October 2011

Academic Editor: Carlo Piccardi

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

Using the fixed point method, we investigate the stability of the systems of quadratic-cubic and additive-quadratic-cubic functional equations with constant coefficients form r-divisible groups into Ŝerstnev probabilistic Banach spaces.