Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634655 | Applied Mathematics and Computation | 2008 | 8 Pages |
Abstract
The concept of exceptional family has been introduced to study the existence theorem for nonlinear complementarity problems and variational inequality problems. We describe extensions of such concepts to complementarity problems defined over the cone of block-diagonal symmetric positive semidefinite real matrices. Using the concept of exceptional family, we propose a very general existence theorem for the semidefinite complementarity problem. Extensions of Isac-Carbone's condition, Karamardian's condition, properness and coercivity are also introduced. Several applications of the main results are presented, and we prove that without exceptional family is a sufficient and necessary condition for the solvability of pseudomonotone semidefinite complementarity problems.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Liping Zhang,