Stability of the Pexiderized Lobacevski Equation

الملخص EN

The aim of this paper is to investigate the solution and the superstability of the Pexiderized Lobacevski equation f((x+y)/2)2=g(x)h(y), where f, g, h : G2→ℂ are unknown functions on an Abelian semigroup (G,+).

The obtained result is a generalization of Gǎvruţa's result in 1994 and Kim's result in 2010.