@Article{Min2010, author = "Min, Liu and Chang, Shih-sen and Zuo, Ping", title = "An algorithm for finding a common solution for a system of mixed equilibrium problem, quasi-variational inclusion problem and fixed point problem of nonexpansive semigroup", journal = "Opuscula Math.", year = "2010", volume = "30", number = "4", pages = "465--484", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.4.465", url = "http://dx.doi.org/10.7494/OpMath.2010.30.4.465", abstract = "In this paper, we introduce a hybrid iterative scheme for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for a nonexpansive semigroup and the set of solutions of the quasi-variational inclusion problem with multi-valued maximal monotone mappings and inverse-strongly monotone mappings in a Hilbert space. Under suitable conditions, some strong convergence theorems are proved. Our results extend some recent results in the literature.", keywords = "nonexpansive semigroup, mixed equilibrium problem, viscosity approximation method, quasi-variational inclusion problem, multi-valued maximal monotone mappings, \(\alpha\)-inverse-strongly monotone mapping", issn = "1232-9274" }