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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
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