Title :
Existence of the Solution for General Complementarity Problems
Author :
Wang, Xiuyu ; Jiang, Xingwu ; Dong, Xiaogang ; Liu, Qinghuai
Author_Institution :
Sch. of Basic Sci., ChangchunUniversity of Technol., Changchun, China
Abstract :
In this paper, we study the following general Complementarity problem, We use Poineare-Bohn´s homotopy invariance theorem of degree to derive an alternative theorem. Based on this result, a sufficiently condition is established to assure the existence and boundedness of solution curve.
Keywords :
complementarity; matrix algebra; set theory; Poineare-Bohn´s homotopy invariance theorem; general complementarity problems; solution curve; sufficient condition; alternative theorem; complementarity problems; monotone function; solution curve;
Conference_Titel :
Computational Intelligence and Security (CIS), 2010 International Conference on
Conference_Location :
Nanning
Print_ISBN :
978-1-4244-9114-8
Electronic_ISBN :
978-0-7695-4297-3
DOI :
10.1109/CIS.2010.52