On generalized mixed quasivariational inclusions (Q701437)

Summary: We study a class of generalized mixed quasivariational inclusions. By using the properties of the resolvent operator associated with a maximal monotone mapping in a real Hilbert space, we establish an existence theorem of solutions for generalized mixed quasivariational inclusions, suggesting a new iterative algorithm and a perturbed proximal point algorithm for finding approximate solutions which strongly converge to the exact solutions of the generalized mixed quasivariational inclusions.