Iterative methods for mixed equilibrium problems and strictly pseudocontractive mappings
Jong Soo Jung · Fixed Point Theory and Applications · 2012
In this paper, we introduce new implicit and explicit iterative schemes for finding a common element of the set of solutions of the mixed equilibrium problem and the set of fixed points of a k-strictly pseudocontractive non-self mapping in Hilbert spaces. We establish results of the strong convergence of the sequences generated by the proposed schemes to a common point of two sets, which is a solution of a certain variational inequality. Our results extend and improve the corresponding results given by many authors recently in this area. MSC:47H05, 47H06, 47H09, 47H10, 47J25, 47J05, 49M05.