Strong convergence theorems for equilibrium problems and fixed point problem of multivalued nonexpansive mappings via hybrid projection method
1 Department of Mathematics, Imam Khomeini International University, Qazvin, 34149, Iran
2 Young Researchers Club, Babol Branch, Islamic Azad University, Babol, Iran
Journal of Inequalities and Applications 2012, 2012:164 doi:10.1186/1029-242X-2012-164Published: 23 July 2012
In this paper, a new iterative process by the hybrid projection method is constructed. Strong convergence of the iterative process to a common element of the set of common fixed points of a finite family of generalized nonexpansive multivalued mappings and the solution set of two equilibrium problems in a Hilbert space is proved. Our results extend some important recent results.
MSC: 47H10, 47H09.