Journal of Inequalities and Applications
Volume 2006 (2006), Article ID 45164, 15 pages

Fuzzy multivalued variational inclusions in Banach spaces

S. S. Chang,1,2 D. O'Regan,3 and J. K. Kim4

1Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
2Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China
3Department of Mathematics, National University of Ireland, Galway, University Road, Galway, Ireland
4Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea

Received 21 February 2005; Revised 20 April 2005; Accepted 29 June 2005

Copyright © 2006 S. S. Chang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalued variational inclusions in Banach spaces. Using the resolvent operator technique and a new analytic technique, some existence theorems and iterative approximation techniques are presented for these fuzzy multivalued variational inclusions.