| Abstract: | In this paper, we introduce and study a new class of variational inclusions, called the set-valued quasi variational inclusions.
The resolvent operator technique is used to establish the equivalence between the set-valued quasi variational inclusions
and the fixed point problem. This equivalence is used to study the existence of a solution and to suggest a number of iterative
algorithms for solving the set-valued variational inclusions. We also study the convergence criteria of these algorithms. |
