Results 31 to 40 of about 745 (143)

The Forward-Backward-Forward Method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

, 2020
Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan, Csetnek, Ernö Robert, Vuong, Phan Tu   +2 more
core   +1 more source

Inexact Bregman iteration with an application to Poisson data reconstruction [PDF]

, 2013
This work deals with the solution of image restoration problems by an iterative regularization method based on the Bregman iteration. Any iteration of this scheme requires to exactly compute the minimizer of a function.
Benfenati, Alessandro, Ruggiero, Valeria
core   +1 more source

Multi-Agent Distributed Optimization via Inexact Consensus ADMM [PDF]

, 2014
Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems.
Chang, Tsung-Hui, Hong, Mingyi, Hong, Mingyi, Wang, Xiangfeng   +3 more
core   +4 more sources

A self-adaptive inertial subgradient extragradient method for pseudomonotone equilibrium and common fixed point problems

Fixed Point Theory and Applications, 2020
In this paper, we introduce a self-adaptive inertial subgradient extragradient method for solving pseudomonotone equilibrium problem and common fixed point problem in real Hilbert spaces.
Lateef Olakunle Jolaoso, Maggie Aphane
doaj   +1 more source

Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems

Journal of Inequalities and Applications, 2019
In this paper, we introduce a new algorithm with self-adaptive method for finding a solution of the variational inequality problem involving monotone operator and the fixed point problem of a quasi-nonexpansive mapping with a demiclosedness property in a
Ming Tian, Mengying Tong
doaj   +1 more source

A Parallel-Viscosity-Type Subgradient Extragradient-Line Method for Finding the Common Solution of Variational Inequality Problems Applied to Image Restoration Problems

Mathematics, 2020
In this paper, we study a modified viscosity type subgradient extragradient-line method with a parallel monotone hybrid algorithm for approximating a common solution of variational inequality problems.
Suthep Suantai, Pronpat Peeyada, Damrongsak Yambangwai, Watcharaporn Cholamjiak   +3 more
doaj   +1 more source

An Inertial Subgradient Extragradient Method for Approximating Solutions to Equilibrium Problems in Hadamard Manifolds

Axioms, 2023
In this work, we are concerned with the iterative approximation of solutions to equilibrium problems in the framework of Hadamard manifolds. We introduce a subgradient extragradient type method with a self-adaptive step size. The use of a step size which
Olawale Kazeem Oyewole, Simeon Reich
doaj   +1 more source

Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization [PDF]

, 2017
We study the extension of the Chambolle--Pock primal-dual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces.
Clason, Christian, Valkonen, Tuomo
core   +2 more sources

A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

Journal of Inequalities and Applications, 2023
In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, the projection contraction method, and the viscosity method.
Austine Efut Ofem, Akindele Adebayo Mebawondu, Godwin Chidi Ugwunnadi, Hüseyin Işık, Ojen Kumar Narain   +4 more
doaj   +1 more source

Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications

Mathematical Modelling and Analysis, 2022
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic stepsizes for solving monotone and Lipschitz continuous variational inequality problems in real Hilbert spaces.
Bing Tan, Xiaolong Qin
doaj   +1 more source