A New Strong Convergence Theorem for Equilibrium Problems and Fixed Point Problems in Banach Spaces

作者：Nilsrakoo Weerayuth^*

来源：Fixed Point Theory and Applications, 2011, 2011(1): 572156.

DOI：10.1155/2011/572156

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.

• 出版日期2011