Stability of the Pexiderized Lobacevski Equation

Gwang Hui Kim

Journal of Applied Mathematics, 2011, vol. 2011, issue 1

Abstract: 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.

Date: 2011
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https://doi.org/10.1155/2011/540274

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2011:y:2011:i:1:n:540274

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