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

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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