Fast optimization via inertial dynamics with closed-loop dam**

H Attouch, RI Boţ, ER Csetnek - Journal of the European Mathematical …, 2022 - ems.press
In a real Hilbert space H, in order to develop fast optimization methods, we analyze the
asymptotic behavior, as time t tends to infinity, of a large class of autonomous dissipative …

An operator splitting approach for distributed generalized Nash equilibria computation

P Yi, L Pavel - Automatica, 2019 - Elsevier
In this paper, we propose a distributed algorithm for computation of a generalized Nash
equilibrium (GNE) in noncooperative games over networks. We consider games in which the …

Image restorations using a modified relaxed inertial technique for generalized split feasibility problems

EC Godwin, C Izuchukwu… - Mathematical Methods in …, 2023 - Wiley Online Library
In this article, we propose a new efficient self‐adaptive method and prove that it converges
strongly to a minimum‐norm solution of a generalized split feasibility problem in real Hilbert …

On split monotone variational inclusion problem with multiple output sets with fixed point constraints

VA Uzor, TO Alakoya, OT Mewomo - Computational Methods in …, 2023 - degruyter.com
In this paper, we introduce and study the concept of split monotone variational inclusion
problem with multiple output sets (SMVIPMOS). We propose a new iterative scheme, which …

Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems

EC Godwin, TO Alakoya, OT Mewomo… - Applicable …, 2023 - Taylor & Francis
In this paper, we introduce a new relaxed inertial Tseng extragradient method with self-
adaptive step size for approximating common solutions of monotone variational inequality …

Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems

GN Ogwo, C Izuchukwu, Y Shehu… - Journal of Scientific …, 2022 - Springer
In this paper, we present two new relaxed inertial subgradient extragradient methods for
solving variational inequality problems in a real Hilbert space. We establish the …

Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence

Y Shehu, OS Iyiola - Applied Numerical Mathematics, 2020 - Elsevier
The projection methods with vanilla inertial extrapolation step for variational inequalities
have been of interest to many authors recently due to the improved convergence speed …

New inertial relaxed method for solving split feasibilities

Y Shehu, A Gibali - Optimization Letters, 2021 - Springer
In this paper, we introduce a relaxed CQ method with alternated inertial step for solving split
feasibility problems. We give convergence of the sequence generated by our method under …

[HTML][HTML] Fast generalized Nash equilibrium seeking under partial-decision information

M Bianchi, G Belgioioso, S Grammatico - Automatica, 2022 - Elsevier
We address the generalized Nash equilibrium seeking problem in a partial-decision
information scenario, where each agent can only exchange information with some …

Convergence of a relaxed inertial forward–backward algorithm for structured monotone inclusions

H Attouch, A Cabot - Applied Mathematics & Optimization, 2019 - Springer
In a Hilbert space HH, we study the convergence properties of a class of relaxed inertial
forward–backward algorithms. They aim to solve structured monotone inclusions of the form …