... nonexpansive.Furthermore, for x ∈ H and u ∈ C, u pcx, ⇔x − u, u − y≥0, for all y ∈ C.It is widely known that H satisfies Opial’s condition 11, that is, for any sequence{xn} with xnx, the ... y,2.2holds for every y ∈ H with y/ x. In order to solve the equilibrium problem for a bifunctionφ : C × C → R, let us assume that φ satisfies the following conditions:A1 φx, x0, for all ... Inequalities and ApplicationsVolume 2011, Article ID 173430, 15 pagesdoi:10.1155/2011/173430 Research Article An Application of Hybrid Steepest DescentMethods for Equilibrium Problems and StrictPseudocontractions...