... 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 ... xni/λni→ 0anduniq, it follows from A4 that 0 ≥ φy, q,forally ∈ C.Letzt ty 1 − tq for all t ∈ 0, 1 and y ∈ C,thenwehavezt∈ C and henceφzt,q ≤ 0. Thus, from A1 and A4,wehave0 ... 506–515, 2007.5 A. Tada and W. Takahashi, “Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem,” Journal of Optimization Theory and Applications, vol. 133,...