Inexact proximal -subgradient methods for composite convex optimization problems
RD Millán, MP Machado - Journal of Global Optimization, 2019 - Springer
We present two approximate versions of the proximal subgradient method for minimizing the
sum of two convex functions (not necessarily differentiable). At each iteration, the algorithms …
sum of two convex functions (not necessarily differentiable). At each iteration, the algorithms …
A projection algorithm for non-monotone variational inequalities
RS Burachik, RD Millan - Set-Valued and Variational Analysis, 2020 - Springer
We introduce a projection-type algorithm for solving the variational inequality problem for
point-to-set operators, and establish its convergence properties. Namely, we assume that …
point-to-set operators, and establish its convergence properties. Namely, we assume that …
A hybrid method for solving systems of operator inclusion problems
RD Millán - arXiv preprint arXiv:1604.01866, 2016 - arxiv.org
In this paper, we propose an algorithm combining the forward-backward splitting method
and the alternative projection method for solving the system of splitting inclusion problem …
and the alternative projection method for solving the system of splitting inclusion problem …