JIPAM

Iterative Algorithm for A New System of Nonlinear Set-Valued Variational Inclusions Involving $(H, \eta)$ -monotone Mappings  
 
  Authors: Mao-Ming Jin,  
  Keywords: $(H,eta)$-monotone mapping; System of nonlinear set-valued variational inclusions; Resolvent operator method; Iterative algorithm.  
  Date Received: 05/11/05  
  Date Accepted: 28/12/05  
  Subject Codes:

49J40; 47H10.

  
  Editors: Ram U. Verma,  
 
  Abstract:

In this paper, a new system of nonlinear set-valued variational inclusions involving $(H,eta)$-monotone mappings in Hilbert spaces is introduced and studied. By using the resolvent operator method associated with $(H,eta)$-monotone mappings, an existence theorem of solutions for this kind of system of nonlinear set-valued variational inclusion is established and a new iterative algorithm is suggested and discussed. The results presented in this paper improve and generalize some recent results in this field.;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=689