... reduce to find a solution of 1.1. Some methods have been proposed to solve theequilibrium problem, see, for instance, 1, 2.A mappingT of C into itself is nonexpansive if Tx−Ty≤x−y,forallx, ... solution to the following variational inequality:γf − Ax∗,x− x∗≤0, for x ∈ FT, and is also the optimality condition for someminimization problem. A mapping S : C → H is said to be k-strictly ... subset of aHilbert space H.Wewritexnxto indicate that the sequence {xn} converges weakly to x. xn→ x implies that {xn} converges strongly to x.Foranyx ∈ H, there exists a uniquenearest...