A Infinite Family of Generalized Set-Valued Quasi-Variational Inequality Problems in Hilbert Spaces

In this paper, we introduce and study a new class of infinite family of generalized set-valued quasi-variational inequality problems in Hilbert spaces. We construct an iterative algorithm and prove an existence of solutions for this kind of quasi-variational inequalities. We also prove the convergence of iterative sequences generated by the algorithm. The main results presented in this paper generalized some known results.