Approximation methods of solutions for equilibrium problem in Hilbert spaces. (English) Zbl 1202.49011
Summary: The purpose of this paper is, by using viscosity approximation methods, to find a common element of the set of solutions of an equilibrium problem and the set of fixed point of a nonexpansive mappings in a Hilbert space and to prove, under suitable conditions, some strong convergence theorems for approximating a solution of the problem under consideration.
MSC:
49J40 | Variational inequalities |
47H10 | Fixed-point theorems |
47J20 | Variational and other types of inequalities involving nonlinear operators (general) |