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Strong Convergence of the Regularized Operator Extrapolation Algorithm For Variational Inequalities
The authors propose and investigate a new algorithm for solving variational inequalities in Hilbert spaces. The proposed iterative algorithm is...
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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...
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Linearized Douglas–Rachford method for variational inequalities with Lipschitz map**s
In this article, we introduce linearized Douglas–Rachford method for solving Lipschitz continuous variational inequalities in Hilbert space. First,...
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Modified Inertial Projection Method for Solving Pseudomonotone Variational Inequalities with Non-Lipschitz in Hilbert Spaces
This paper deals with a class of inertial gradient projection methods for solving a variational inequality problem involving pseudomonotone and...
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A generalized extragradient method for variational inequalities of the second kind
We formulate and analyze a generalized extragradient method for the iterative solution of variational inequalities of the second kind of the form
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Inertial iterative method for solving equilibrium problems and fixed point problems
In this paper, we present an inertial iterative method for solving pseudomonotone equilibrium and fixed point problems in Banach spaces. Under...
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A modified subgradient extragradient method with non-monotonic step sizes for solving quasimonotone variational inequalities
In this work, we propose a self-adaptive projection method for solving variational inequalities with Lipschitz continuous and quasimonotone map**...
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Adaptive Two-Stage Bregman Method for Variational Inequalities
The authors analyze the two-stage Popov method with Bregman divergence and a new adaptive rule for choosing the step size, which does not require the...
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A Relaxed Inertial Factor of the Modified Subgradient Extragradient Method for Solving Pseudo Monotone Variational Inequalities in Hilbert Spaces
In this paper, we investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert spaces. For solving this problem, we...
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An improved subgradient extragradient method with two different parameters for solving variational inequalities in reflexive Banach spaces
In this paper, we combine the classical subgradient extragradient method with the Bregman projection method for solving variational inequality...
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Convergence of the Method of Extrapolation from the Past for Variational Inequalities in Uniformly Convex Banach Spaces*
The authors analyze two new algorithms for solving variational inequalities in Banach spaces. The first algorithm is a modification of Popov’s...
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Outer approximated projection and contraction method for solving variational inequalities
In this paper we focus on solving the classical variational inequality (VI) problem. Most common methods for solving VIs use some kind of projection...
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Strong Convergence of an Inertial Extragradient Method with an Adaptive Nondecreasing Step Size for Solving Variational Inequalities
In this work, we investigate a classical pseudomonotone and Lipschitz continuous variational inequality in the setting of Hilbert space, and present...
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A novel inertial Tseng’s method for solving generalized variational inequality problem
In this paper, we introduce a new map** called h -pseudomonotone map**, which is a generalization of various monotone map**s in the literature....
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Tseng’s extragradient method with double projection for solving pseudomonotone variational inequality problems in Hilbert spaces
The aim of this paper is to investigate an accelerated Tseng’s extragradient method with double projection for solving Lipschitzian and...
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A simple projection method for solving quasimonotone variational inequality problems
Projection methods have been one of the popular methods for solving variational inequality problems in the literature. Several projection methods...
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Viscosity extragradient with modified inertial method for solving equilibrium problems and fixed point problem in Hadamard manifold
In this article, we propose a viscosity extragradient algorithm together with an inertial extrapolation method for approximating the solution of...
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Modified inertial viscosity extrapolation method for solving quasi-monotone variational inequality and fixed point problems in real Hilbert spaces
In this paper, we introduce and study a viscous-type extrapolation algorithm for finding a solution of the variational inequality problem and a fixed...
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Extragradient method with Bregman distances for solving vector quasi-equilibrium problems
We study the extragradient method for solving vector quasi-equilibrium problems in Banach spaces, which generalizes the extragradient method for...
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Strong convergence of double-projection method for variational inequality problems
The paper proposes a numerical method for solving a variational inequality problem (VIP) involving a monotone and Lipschitz continuous operator in a...
