Hybrid iterative algorithms for finding common solutions of a system of generalized mixed quasi-equilibrium problems and fixed point problems of nonexpansive semigroups

In this paper, we introduced a hybrid iterative method for finding the set of common solutions for a system of generalized mixed quasi-equilibrium problems, the set of common fixed points for nonexpansive semigroup and the set of solutions of quasi-variational inclusion problems with multi-valued maximal monotone mappings and inverse strongly monotone mappings in Hilbert spaces. Under suitable assumptions, we prove some strong convergence theorems for the iteration.

کلیدواژه ها:

Generalized mixed quasi-equilibrium problems ، nonexpansive semigroup ، Viscosity approximation method ، generalized quasi-variational inclusions problems ، multi-valued maximal monotone mappings ، \alpha-inverse strongly monotone mappings