Academic Editor: Charles E. Chidume
Copyright © 2009 M. Alimohammady 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.
A new system of
nonlinear fuzzy variational inclusions involving -accretive mappings in uniformly smooth Banach spaces is
introduced and studied many fuzzy variational and variational
inequality (inclusion) problems as special cases of this system. By
using the resolvent operator technique associated with -accretive operator due to Lan et al. and Nadler's fixed
points theorem for set-valued mappings, an existence theorem of
solutions for this system of fuzzy variational inclusions is proved.
We also construct some new iterative algorithms for the solutions of
this system of nonlinear fuzzy variational inclusions in uniformly
smooth Banach spaces and discuss the convergence of the sequences
generated by the algorithms in uniformly smooth Banach spaces. Our
results extend, improve, and unify many known results in the recent