TY  - JOUR
ID  - Min2010
LB  - Min2010
AU  - Min, Liu
AU  - Chang, Shih-sen
AU  - Zuo, Ping
TI  - 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
ST  - 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
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2010
VL  - 30
IS  - 4
SP  - 465
EP  - 484
DO  - http://dx.doi.org/10.7494/OpMath.2010.30.4.465
UR  - http://dx.doi.org/10.7494/OpMath.2010.30.4.465
AB  - 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.
KW  - nonexpansive semigroup
KW  - mixed equilibrium problem
KW  - viscosity approximation method
KW  - quasi-variational inclusion problem
KW  - multi-valued maximal monotone mappings
KW  - \(\alpha\)-inverse-strongly monotone mapping
SN  - 1232-9274
ER  -