Hyers-Ulam-Rassias stability of the additive-quadratic mappings in non-Archimedean Banach spaces
1 Department of Mathematics, Hanyang University, Seoul, South Korea
2 Department of Mathematics, College of Sciences, Yasouj University, Yasouj, 75914-353, Iran
3 Department of Mathematics, National Technical University of Athens, Zografou, Campus, Athens, 15780, Greece
Journal of Inequalities and Applications 2012, 2012:174 doi:10.1186/1029-242X-2012-174Published: 6 August 2012
Using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of the following additive-quadratic functional equation in non-Archimedean normed spaces
where r, s, γ are positive real numbers.
MSC: 39B55, 46S10.