A hybrid iteration scheme for common fixed point problem
Zhen Li · Journal of Hubei Normal University · 2010
In this paper,we introduce an iterative process which converges strongly to a common element of a set of common fixed points of infinite family of nonexpansive mappings and the solution set of equilibrium problem in Hilbert spaces,our results extend the iteration scheme f(un,y)+Axn,y-un+1rny-un,un-xn≥0,y∈Cxn+1=αnu+βnxn+γnTun,n≥1 to f(un,y)+Axn,y-un+1rny-un,un-xn≥0,y∈Cxn+1=αnf(xn)+βnxn+γnWnun,n≥1.