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Two subgradient extragradient methods based on the golden ratio technique for solving variational inequality problems
We propose and study two new methods based on the golden ratio technique for approximating solutions to variational inequality problems in Hilbert...
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Revisiting subgradient extragradient methods for solving variational inequalities
In this paper, several extragradient algorithms with inertial effects and adaptive non-monotonic step sizes are proposed to solve pseudomonotone...
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An explicit subgradient extragradient algorithm with self-adaptive stepsize for pseudomonotone equilibrium problems in Banach spaces
In this paper, we introduce an explicit subgradient extragradient algorithm for solving equilibrium problem with a bifunction satisfying...
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A Tseng extragradient method for solving variational inequality problems in Banach spaces
This paper presents an inertial Tseng extragradient method for approximating a solution of the variational inequality problem. The proposed method...
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Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces
This paper aims to introduce a new projection method for solving pseudomonotone variational inequality problems in real reflexive Banach spaces. The...
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Strong and linear convergence of projection-type method with an inertial term for finding minimum-norm solutions of pseudomonotone variational inequalities in Hilbert spaces
The purpose of this paper is to investigate pseudomonotone variational inequalities in real Hilbert spaces. For solving this problem, we introduce a...
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A subgradient proximal method for solving a class of monotone multivalued variational inequality problems
It is well known that the algorithms with using a proximal operator can be not convergent for monotone variational inequality problems in the general...
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Novel projection methods for solving variational inequality problems and applications
We introduce and analyze two modified subgradient extragradient methods with adaptive step sizes for solving variational inequality problems governed...
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Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities
In this paper, we introduce a new iterative algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone...
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Projection extragradient algorithms for solving nonmonotone and non-Lipschitzian equilibrium problems in Hilbert spaces
We present two projection extragradient algorithms for solving equilibrium problems without monotonicity and Lipschitz-type property in Hilbert...
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A new approach to the Korpelevich method for solving pseudomonotone equilibrium problems
The Korpelevich method is an algorithm which is used to find solutions to equilibrium problems. These problems are mathematical models which are used...
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Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces
In this paper, by basing on the inexact subgradient and projection methods presented by Santos et al. (Comput. Appl. Math. 30: 91–107,
2011 ), we... -
Modified projection method and strong convergence theorem for solving variational inequality problems with non-Lipschitz operators
In this paper, we introduce a modified projection method and give a strong convergence theorem for solving variational inequality problems in real...
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A modified generalized version of projected reflected gradient method in Hilbert spaces
This article is concerned with a universal version of projected reflected gradient method with new step size for solving variational inequality...
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A modified subgradient extragradient method for solving the variational inequality problem
The subgradient extragradient method for solving the variational inequality (VI) problem, which is introduced by Censor et al. (J. Optim. Theory...
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Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
In this paper, we propose two extragradient methods for finding an element of the set of solutions of the bilevel pseudo-monotone variational...
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Strong convergence of an extragradient-like algorithm involving pseudo-monotone map**s
The purpose of this paper is to introduce a new extragradient-like algorithm for solving a variational inequality problem with a pseudo-monotone and...
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Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
In this paper, basing on the subgradient extragradient method and inertial method with line-search process, we introduce two new algorithms for...
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Modified subgradient extragradient method for variational inequality problems
In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational...
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Inertial-type incremental constraint projection method for solving variational inequalities without Lipschitz continuity
In this paper, we propose an incremental constraint projection method (i.e., random or cyclic projection algorithm) for solving variational...
