Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 84146, 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

Recommended by Patricia J. Y. Wong

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.