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

Year 2011, Volume: 40 Issue: 4, 571 - 579, 01.04.2011

Ghadir Sadeghi Reza Saadati M. Janfada J.m. Rassias

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

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