Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 084146, 10 pages
doi:10.1155/2007/84146
Research Article

Some Characteristic Quantities Associated with Homogeneous P-Type and M-Type Functions

Ya-Ping Fang,1 Nan-Jing Huang,1 and Yeol Je Cho2

1Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
2Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea

Received 22 November 2006; Accepted 20 March 2007

Academic Editor: Patricia J. Y. Wong

Copyright © 2007 Ya-Ping Fang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Several characteristic quantities associated with homogeneous P-type and M-type functions are introduced and studied in this paper. Further, the concepts of P-property and M-property for a couple of functions are introduced and some quantities for a pair of homogeneous functions having P-property and M-property are obtained, respectively. As an application, a bound for the solution of the homogeneous complementarity problem with a P-type function is derived.