Journal of Inequalities and Applications 
Volume 2006 (2006), Article ID 45164, 15 pages
doi:10.1155/JIA/2006/45164

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

Abstract

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.