Non-Archimedean Hyers-Ulam-Rassias stability of m-variable functional equation

作者：Kenary H Azadi; Rezaei H; Sharifzadeh M; Shin D Y^*; Lee J R

来源：Advances in Difference Equations, 2012, 111.

DOI：10.1186/1687-1847-2012-111

• stability
• non-Archimedean normed space
• fixed point method

The main goal of this paper is to study the Hyers-Ulam-Rassias stability of the following Euler-Lagrange type additive functional equation: %26lt;br%26gt;Sigma(m)(j=1)f(-r(j)x(j) + Sigma(1 %26lt;= i %26lt;= m,i not equal j) r(j)x(j)) + 2 Sigma(m)(j=1) r(i)f(x(j)) = mf(Sigma(m)(i=1)r(j)x(j)), %26lt;br%26gt;where r(1),..., r(m) is an element of R, Sigma(m)(i=k) r(k) not equal 0, and r(i),r(j) not equal 0 for some 1 %26lt;= i %26lt; j %26lt;= m, in non-Archimedean Banach spaces.

• 出版日期2012