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

Liu Min, Shih-sen Chang, Ping Zuo
2010 Opuscula Mathematica  
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
more » ... cent results in the literature.
doi:10.7494/opmath.2010.30.4.465 fatcat:bvct5ue7jbeurnc5ouwhj4vvti