Convergence of a distributed method for minimizing sum of convex functions with fixed point constraints
Nawarat Ekkarntrong, Tipsuda Arunrat, Nimit Nimana · Journal of Inequalities and Applications · 2021
Abstract In this paper, we consider a distributed optimization problem of minimizing sum of convex functions over the intersection of fixed-point constraints. We propose a distributed method for solving the problem. We prove the convergence of the generated sequence to the solution of the problem under certain assumption. We further discuss the convergence rate with an appropriate positive stepsize. A numerical experiment is given to show the effectiveness of the obtained theoretical result.