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

Several characteristic quantities associated with homogeneous P-type and M-type func-tions 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 ho-mogeneous 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. 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. 1