%0 Journal Article %T A Part-Metric-Related Inequality Chain and Application to the Stability Analysis of Difference Equation %A Yang Xiaofan %A Yang Maobin %A Liu Huaiyi %J Journal of Inequalities and Applications %D 2007 %I Springer %X We find a new part-metric-related inequality of the form , where . We then apply this result to show that is a globally asymptotically stable equilibrium of the rational difference equation , . %U http://www.journalofinequalitiesandapplications.com/content/2007/019618