Discrete Dynamics in Nature and Society 
Volume 2008 (2008), Article ID 193872, 7 pages
doi:10.1155/2008/193872
Research Article

A New Part-Metric-Related Inequality Chain and an Application

Xiaofan Yang,1,2 Fangkuan Sun,2 and Yuan Yan Tang2,3

 1School of Computer and Information, Chongqing Jiaotong University, Chongqing 400074, China
2College of Computer Science, Chongqing University, Chongqing 400044, China
3Department of Computer Science, Hong Kong Baptist University, Kowloon, Hong Kong
Received 28 September 2007; Accepted 6 November 2007

Recommended by Stevo Stevic

Abstract

Part-metric-related (PMR) inequality chains are elegant and are useful in the study of difference equations. In this paper, we establish a new PMR inequality chain, which is then applied to show the global asymptotic stability of a class of rational difference equations.