The System of Mixed Equilibrium Problems for Quasi‐Nonexpansive Mappings in Hilbert Spaces
Rabian Wangkeeree, Panatda Boonman · Journal of Applied Mathematics · 2012
We first introduce the iterative procedure to approximate a common element of the fixed‐point set of two quasinonexpansive mappings and the solution set of the system of mixed equilibrium problem (SMEP) in a real Hilbert space. Next, we prove the weak convergence for the given iterative scheme under certain assumptions. Finally, we apply our results to approximate a common element of the set of common fixed points of asymptotic nonspreading mapping and asymptotic TJ mapping and the solution set of SMEP in a real Hilbert space.