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