Article ID: | iaor201113483 |
Volume: | 52 |
Issue: | 1 |
Start Page Number: | 57 |
End Page Number: | 77 |
Publication Date: | Jan 2012 |
Journal: | Journal of Global Optimization |
Authors: | Shehu Yekini |
Keywords: | calculus of variations |
In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solution of generalized mixed equilibrium problem and the set of solutions of the variational inequality problem for a co‐coercive mapping in a real Hilbert space. Then strong convergence of the scheme to a common element of the three sets is proved. Furthermore, new convergence results are deduced and finally we apply our results to solving optimization problems and present other applications.