SPLIT EQUILIBRIUM, VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS FOR MULTI-VALUED MAPPINGS IN HILBERT SPACES

摘要

In this paper, we introduce and study iterative schemes for finding a common element of the solution set of split equilibrium problems, the solution set of variational inequality problems for an inverse strongly monotone mapping and the set of fixed points of non-spreading multi-valued mappings in Hilbert spaces. We prove that the proposed iterative sequence converges weakly to a common element of the three sets. Finally, we give an example to illustrate the main result of this paper.