On strongly convergent parallel proximal point algorithms

Abstract

This paper is concerned with two parallel proximal point algorithms for solving a system of' ili-posed equations involving monotone operators. They are parallel versions of the projection-proximal point method proposed by Solodov and Svaiter and the regularization- proximal point method introduced by Ryazantseva, respectively. The convergence analysis of both methods has been investigated. The paper is completed by some numerical experiments computation.