STABILITY OF EULER-LAGRANGE QUADRATIC FUNCTIONAL EQUATIONS IN NON-ARCHIMEDEAN NORMED SPACES

Authors : Ghadir SADEGHİ, Reza SAADATİ, M JANFADA, Jm RASSİAS

Pages : 571-579

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Publication Date : 2011-04-01

Article Type : Research Paper

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