Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2012 (2012), Article ID 401762, 9 pages
Research Article

Stability of the -Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces

1Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of Korea
2Mathematics Section, College of Science and Technology, Hongik University, 339-701 Jochiwon, Republic of Korea
3Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece

Received 19 November 2011; Accepted 23 January 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Yang-Hi Lee 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.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Seong Sik Kim, Yeol Je Cho, and Madjid Eshaghi Gordji, “On the generalized Hyers-Ulam-Rassias stability problem of radical functional equations,” Journal Of Inequalities And Applications, 2012. View at Publisher · View at Google Scholar
  • Yang-Hi Lee, and Soon-Mo Jung, “STABILITY OF THE n-DIMENSIONAL MIXED-TYPE ADDITIVE AND QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN NORMED SPACES, II,” Mathematical Inequalities & Applications, vol. 16, no. 4, pp. 1031–1041, 2013. View at Publisher · View at Google Scholar
  • Yang-Hi Lee, “On the quadratic additive type functional equations,” International Journal of Mathematical Analysis, vol. 7, no. 37-40, pp. 1935–1948, 2013. View at Publisher · View at Google Scholar
  • Young-Su Lee, Yujin Jeong, and Hyemin Ha, “Stability of a Jensen type quadratic-additive functional equation under the approximately conditions,” Advances in Difference Equations, vol. 2015, no. 1, 2015. View at Publisher · View at Google Scholar
  • Ravindiran, Balamurugan, and Arunkumar, “Generalized hyers-ulam stability for a mixed additive-quadratic-cubic-quartic (AQCQ) functional equation in quasi-banach spaces,” International Journal of Pure and Applied Mathematics, vol. 106, no. 5, pp. 99–121, 2016. View at Publisher · View at Google Scholar