Relaxed Tseng splitting method with double inertial steps for solving monotone inclusions and fixed point problems
In this article, we consider the problem of approximating the common solution of monotone
inclusions and demicontraction fixed point problems. Firstly, we present Tseng splitting …
inclusions and demicontraction fixed point problems. Firstly, we present Tseng splitting …
A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications
In this article, we introduce an inertial-type algorithm that combines the extragradient
subgradient method, the projection contraction method, and the viscosity method. The …
subgradient method, the projection contraction method, and the viscosity method. The …
Two new inertial algorithms for solving variational inequalities in reflexive Banach spaces
The purpose of this paper is to introduce and analyze two inertial algorithms with self-
adaptive stepsizes for solving variational inequalities in reflexive Banach spaces. Our …
adaptive stepsizes for solving variational inequalities in reflexive Banach spaces. Our …
Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem
In order to discover the minimum-norm solution of the pseudomonotone variational
inequality problem in a real Hilbert space, we provide two variants of the inertial …
inequality problem in a real Hilbert space, we provide two variants of the inertial …
Convergence of the operator extrapolation method for variational inequalities in Banach spaces
New iterative algorithms for solving variational inequalities in uniformly convex Banach
spaces are analyzed. The first algorithm is a modification of the forward-reflected-backward …
spaces are analyzed. The first algorithm is a modification of the forward-reflected-backward …
Relaxed viscosity-type iterative methods with application to compressed sensing
An acceleration strategy via relaxation technique is incorporated in a viscosity-type method
to approximate solutions of monotone inclusion problems that are fixed points of a …
to approximate solutions of monotone inclusion problems that are fixed points of a …
A technique with diminishing and non-summable step-size for monotone inclusion problems in banach spaces
In this paper, an algorithm for approximating zeros of sum of three monotone operators is
introduced and its convergence properties are studied in the setting of 2-uniformly convex …
introduced and its convergence properties are studied in the setting of 2-uniformly convex …
A novel algorithm with self-adaptive technique for solving variational inequalities in Banach spaces
A novel algorithm for solving variational inequalities in a Banach space is proposed and
studied. The proposed algorithm is an adaptive variant of the forward-reflected-backward …
studied. The proposed algorithm is an adaptive variant of the forward-reflected-backward …
An inertial self-adaptive iterative algorithm for finding the common solutions to split feasibility and fixed point problems in specific Banach spaces
In this paper, we propose a new self adaptive iterative algorithm with an inertial technique
for solving split feasibility problems and fixed point problems of relative nonexpansive …
for solving split feasibility problems and fixed point problems of relative nonexpansive …
Strong Convergence of the Regularized Operator Extrapolation Algorithm For Variational Inequalities
VV Semenov, OS Kharkov - Cybernetics and Systems Analysis, 2024 - Springer
The authors propose and investigate a new algorithm for solving variational inequalities in
Hilbert spaces. The proposed iterative algorithm is regularized by the operator extrapolation …
Hilbert spaces. The proposed iterative algorithm is regularized by the operator extrapolation …