TY - JOUR
AU - Shinzato, Rinko
AU - Takahashi, Wataru
PY - 2008/12/01
Y2 - 2021/12/08
TI - A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space
JF - CUBO, A Mathematical Journal
JA - CUBO
VL - 10
IS - 4
SE - Articles
DO -
UR - https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1485
SP - 15–26
AB - In this paper, we prove a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem, the set of solutions of the variational inequality for a monotone mapping and the set of fixed points of a nonexpansive mapping in a Hilbert space by using a new hybrid method. Using this theorem, we obtain three new results for finding a solution of an equilibrium problem, a solution of the variational inequality for a monotone mapping and a fixed point of a nonexpansive mapping in a Hilbert space.
ER -