## Weak convergence theorem for an equilibrium problem and a nonexpansive semigroup in Hilbert spaces.(English)Zbl 1216.41034

Summary: We introduce a weak convergent iterative process for finding a common element of the solution set for an equilibrium problem and the set of fixed points for a nonexpansive semigroup in Hilbert spaces.

### MSC:

 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 47J25 Iterative procedures involving nonlinear operators 47H09 Contraction-type mappings, nonexpansive mappings, $$A$$-proper mappings, etc. 47H10 Fixed-point theorems 47H20 Semigroups of nonlinear operators

### Keywords:

common fixed points; nonexpansive mapping; bifunction
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