Iterative approximation of solutions for a class of completely generalized set-valued quasi-variational inclusions

In this paper we study a new class of completely generalized set-valued quasi-variational inclusion problems in Banach spaces. This inclusion problem is a generalization of the generalized set-valued variational inclusion problem studied by Chang et al. We show that Chang et al.’s algorithm can be modified for finding approximate solutions to this class of quasi-variational inclusion problems. Moreover, the modified algorithm generalizes and improves a number of results in the literature.