SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP
SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP
In this paper, we will prove the superstability of the following generalized Pexider type exponential equation <TEX>$${f(x+y)}^m=g(x)h(y)$$</TEX>, where <TEX>$f,g,h\;:\;G{\rightarrow}\mathbb{R}$</TEX> are unknown mappings and <TEX>$m$</TEX> is a fixed positive integer. Here G is an Abelian group (G, +), and <TEX>$\mathbb{R}$</TEX> the set of real numbers. Also we will extend the obtained …