A strongly convergent simultaneous cutter method for finding the minimal norm solution to common fixed point problem

In this paper, we propose a strongly convergent simultaneous cutter method for finding the min-imal norm solution over the intersection of fixed point sets of cutters. The proposed method is the combination of the simultaneous cutter method and the strongly variance of Krasnosel'skii-Mann method. We show a strong convergence result of the sequence generated by the proposed method to the unique minimal norm solution. We finally present the numerical experiments on the minimal norm solution over a finite number of linear feasibility problem.