An Iteration Method for Solving Equilibrium Problems, Common Fixed Point Problems of Strictly Pseudocontractive Mappings of Browder-Petryshyn Type in Hilbert Spaces
Lijuan Qin, Lin Wang · 2011
In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of equilibrium problems and the set of common fixed points of strictly pseudocontractive mappings of Browder-Petryshyn type. We obtain the sufficient and necessary conditions that the iteration sequence converges strongly to a common element of the set of solutions of equilibrium problems and the set of fixed points of strictly pseudocontractive mappings of Browder-Petryshyn type in Hilbert spaces under some suitable conditions. The results presented in this paper improve and extend the recent corresponding results.