Strong Convergence Theorem for a Generalized Equilibrium Problem and a Family of Infinte k-Strict Pseudo-Contractive Mappings
Min Liu · Journal of Sichuan Normal University · 2011
The equilibrium problems and the fixed point problem of nonexpansive mappings have been studied extensively by many authors in Hilbert spaces.In this paper,a new iterative scheme is introduce by using the viscosity approximation method for finding a common element of the set of solutions for a generalized equilibrium problems and the set of common fixed point for a family of infinite k-strict pseudo-contractive mappings in Hilbert spaces.Under suitable conditions,some strong convergence theorems are proved.The results presented in this paper extend and improve some recent results.