A Modified CQ Algorithm for Solving the Multiple-Sets Split Feasibility Problem and the Fixed Point Problem for Nonexpansive Mappings
Suparat Kesornprom, Nattawut Pholasa, Prasit Cholamjiak
Keywords:
multiple-sets split feasibility problem, relaxed CQ algorithm, Hilbert space, weak and strong convergence, fixed point problemAbstract
In this work, we propose a new relaxed CQ algorithm for solving the multiple-sets split feasibility problem (MSFP) and the fixed point problem for nonexpansive mappings. We obtain weak and strong convergence theorems of the proposed algorithm in Hilbert spaces. Finally, we provide numerical experiments to show the efficiency of our algorithm.