The System of Mixed Equilibrium Problems for Quasi-Nonexpansive Mappings in Hilbert Spaces

Abstract EN

We first introduce the iterative procedure to approximate a common element of the fixed-pointset of two quasinonexpansive mappings and the solution set of the system of mixed equilibrium problem (SMEP) in a realHilbert 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 nonspreadingmapping and asymptotic TJ mapping and the solution set of SMEP in a real Hilbert space.