Abstract :
In this paper, we study a class of generalized quasivariational inclusions. By
using the properties of the resolvent operator associated with a maximal monotone
mapping in Hilbert space, we have established an existence theorem of solutions
for generalized quasivariational inclusions, suggesting a new iterative algorithm
and a perturbed proximal point algorithm for finding approximate solutions which
strongly converge to the exact solution of the generalized quasivariational inclusions.
As special cases, some known results in this field are also discussed.