JIPAM logo: Home Link
 
Home Editors Submissions Reviews Volumes RGMIA About Us
 

   
  Volume 4, Issue 2, Article 38
 
Predictor-Corrector Methods for Generalised General Multivalued Mixed Quasi Variational Inequalities

    Authors: Chao Feng Shi, San Yang Liu, Lian Jun Li,  
    Keywords: Variational inequalities, Auxiliary principle, Predictor-corrector method, Convergence.  
    Date Received: 04/04/03  
    Date Accepted: 01/05/03  
    Subject Codes:

11N05, 11N37.

 
    Editors: Sever S. Dragomir,  
 
    Abstract:

In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized general mixed quasi variational inequalities, suggest a predictor-corrector method for solving the generalized general mixed quasi variational inequalities by using the auxiliary principle technique. If the bi-function involving the mixed quasi variational inequalities is skew-symmetric, then it is shown that the convergence of the new method requires the partially relaxed strong monotonicity property of the operator, which is a weak condition than cocoercivity. Our results can be viewed as an important extension of the previously known results for variational inequalities.

         
       
  Download Screen PDF
  Download Print PDF
  Send this article to a friend
  Print this page
 

      search [advanced search] copyright 2003 terms and conditions login