Ghadir SADEGHI, Reza SAADATI, Mohammad JANFADA, John M. RASSIAS

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

In this paper, we prove the stability of Euler-Lagrange quadratic mappings in the framework of non-Archimedean normed spaces. Our resultsin the setting of non-Archimedean normed spaces are different from theresults 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,

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