Iterative methods for generalized equilibrium problems and fixed point problems with applications. (English) Zbl 1192.58010
Summary: We consider an iterative method for finding a common element of the set of a generalized equilibrium problem, of the set of solutions to a system of variational inequalities and of the set of fixed points of a strict pseudo-contraction. Strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding results announced by many others.
MSC:
| 58E35 | Variational inequalities (global problems) in infinite-dimensional spaces |
Keywords:
nonexpansive mapping; inverse-strongly monotone mapping; equilibrium problem; variational inequality; strict pseudo-contractionReferences:
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