Copyright © 2009 Zeqing Liu 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.
We introduce and study a new system of
nonlinear variational-like inclusions involving
--maximal monotone operators, strongly monotone
operators, -strongly monotone operators, relaxed monotone
operators, cocoercive operators, -relaxed
cocoercive operators, --relaxed
cocoercive operators and relaxed Lipschitz operators in Hilbert
spaces. By using the resolvent operator technique associated with
--maximal monotone operators and Banach contraction
principle, we demonstrate the existence and uniqueness of solution
for the system of nonlinear variational-like inclusions. The
results presented in the paper improve and extend some known
results in the literature.