A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces
Weerayuth Nilsrakoo · Fixed Point Theory and Applications · 2011
Abstract We introduce a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space. Then, we study the strong convergence of the sequences. With an appropriate setting, we obtain the corresponding results due to Takahashi-Takahashi and Takahashi-Zembayashi. Some of our results are established with weaker assumptions.