Peer-Reviewed Article December 13, 2012
Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
Are you an author of this work?Link to your sovereign AfriScholar profile
Published in: Journal of the Egyptian Mathematical Society
Publisher: Springer Science+Business Media • Egypt • 1110-256X
Abstract
In this paper, we introduce an iterative method to approximate a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem for a nonexpansive mapping in real Hilbert spaces. We prove that the sequences generated by the iterative scheme converge strongly to a common solution of the split equilibrium problem, the variational inequality problem and the fixed point problem for a nonexpansive mapping. The results presented in this paper extend and generalize many previously known results in this research area.