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<p/> <p>We study the difference equation <inline-formula><graphic file="1687-1847-2007-016249-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2007-016249-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2007-016249-i3.gif"/></inline-formula>, where <inline-formula><graphic file="1687-1847-2007-016249-i4.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2007-016249-i5.gif"/></inline-formula> are all continuous functions, and <inline-formula><graphic file="1687-1847-2007-016249-i6.gif"/></inline-formula><inline-formula><graphic file="1687-1847-2007-016249-i7.gif"/></inline-formula> We prove that this difference equation admits <inline-formula><graphic file="1687-1847-2007-016249-i8.gif"/></inline-formula> as the globally asymptotically stable equilibrium. This result extends and generalizes some previously known results.</p>