- Research Article
- Open Access
Strong Convergence of a Modified Iterative Algorithm for Mixed-Equilibrium Problems in Hilbert Spaces
Journal of Inequalities and Applications volume 2008, Article number: 454181 (2008)
The purpose of this paper is to study the strong convergence of a modified iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping, as well as the set of solutions of a mixed-equilibrium problem. Our results extend recent results of Takahashi and Takahashi (2007), Marino and Xu (2006), Combettes and Hirstoaga (2005), Iiduka and Takahashi (2005), and many others.
To access the full article, please see PDF.
About this article
Cite this article
Gao, X., Guo, Y. Strong Convergence of a Modified Iterative Algorithm for Mixed-Equilibrium Problems in Hilbert Spaces. J Inequal Appl 2008, 454181 (2008). https://doi.org/10.1155/2008/454181
- Hilbert Space
- Variational Inequality
- Recent Result
- Iterative Algorithm
- Nonexpansive Mapping