- Hacettepe Journal of Mathematics and Statistics
- Vol: 40 Issue: 4
- STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES
STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES
Authors : Ghadir Sadeghi, Reza Saadati, M. Janfada, J. M. Rassias
Pages : 571-579
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Publication Date : 2011-04-01
Article Type : Research
Abstract :In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces. Our results in the setting of non-Archimedean normed spaces are different from the results in the setting of normed spaces.Keywords : Generalized Hyers-Ulam stability, Euler-Lagrange functional equation, Non-Archimedean normed space, p-adic field, 2000 AMS Classification: Primary 39B22, Secondary 39B82, 46S10