Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings
Department of Mathematics, Kyungnam University, Masan, Kyungnam 631-701, Korea
Fixed Point Theory and Applications 2011, 2011:10 doi:10.1186/1687-1812-2011-10Published: 24 June 2011
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established in a uniformly smooth and strictly convex Banach space which has the Kadec-Klee property.
2000 Mathematics subject classification: 47H05, 47H09, 47H10, 47J25