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math.OC2022★ 1 cited
Subgradient methods for non-smooth optimization problems with some relaxation of sharp minimum
S. S. Ablaev, D. V. Makarenko, F. S. Stonyakin +2
In this paper we propose a generalized condition for a sharp minimum, somewhat similar to the inexact oracle proposed recently by Devolder-Glineur-Nesterov. The proposed approach m…
math.OC2022
Some Adaptive First-order Methods for Variational Inequalities with Relatively Strongly Monotone Operators and Generalized Smoothness
A. A. Titov, S. S. Ablaev, M. S. Alkousa +2
In this paper, we introduce some adaptive methods for solving variational inequalities with relatively strongly monotone operators. Firstly, we focus on the modification of the rec…