Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640735 | Journal of Computational and Applied Mathematics | 2010 | 7 Pages |
Abstract
In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a generalized equilibrium problem in a real Hilbert space. Then, strong convergence of the scheme to a common element of the two sets is proved. As an application, problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of an equilibrium problem is solved. Moreover, solution is given to the problem of finding a common element of fixed points set of nonexpansive mappings and the set of solutions of a variational inequality problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Y. Shehu,