Article ID: | iaor20134167 |
Volume: | 56 |
Issue: | 4 |
Start Page Number: | 1675 |
End Page Number: | 1688 |
Publication Date: | Aug 2013 |
Journal: | Journal of Global Optimization |
Authors: | Shehu Yekini |
Keywords: | iterative methods, global convergence, Hilbert space |
Our purpose in this paper is to prove strong convergence theorem for finding a common element of the set of common fixed points of a one‐parameter nonexpansive semigroup and the set of solutions to a system of equilibrium problems in a real Hilbert space using a new iterative method. Finally, we give an application of our result in Hilbert spaces.