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

Buong, Nguyen; Duong, Nguyen Dinh

Int. Math. Forum 5, No. 53-56, 2775-2786 (2010).

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