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A new sufficiently descent algorithm for pseudomonotone nonlinear operator equations and signal reconstruction
This paper presents a new sufficiently descent algorithm for system of nonlinear equations where the underlying operator is pseudomonotone. The...
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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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A new low-cost feasible projection algorithm for pseudomonotone variational inequalities
In this paper, we design a low-cost feasible projection algorithm for variational inequalities by replacing the projection onto the feasible set with...
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A projection algorithm for pseudomonotone vector fields with convex constraints on Hadamard manifolds
In this paper, we propose an algorithm for finding a zero of a pseudomonotone vector field with a convex constraint on a Hadamard manifold. This new...
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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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Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems
In this paper, we investigate two new algorithms for solving bilevel pseudomonotone variational inequality problems in real Hilbert spaces. The...
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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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Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space
In this work, we investigate pseudomonotone variational inequality problems in a real Hilbert space and propose two projection-type methods with...
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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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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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Halpern projection methods for solving pseudomonotone multivalued variational inequalities in Hilbert spaces
In this paper, we introduce new approximate projection and proximal algorithms for solving multivalued variational inequalities involving...
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Two classes of spectral three-term derivative-free method for solving nonlinear equations with application
Solving large-scale systems of nonlinear equations (SoNE) is a central task in mathematics that traverses different areas of applications. There are...
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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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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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A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems
In a very interesting paper ( SIAM J. Control Optim. 37(3): 765–776, 1999), Solodov and Svaiter introduced an effective projection algorithm with...
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Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity
In solving the split variational inequality problems, very few methods have been considered in the literature and most of these few methods require...
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New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz map**s
We propose and study new projection-type algorithms for solving pseudomonotone variational inequality problems in real Hilbert spaces without...
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Solving Mixed Variational Inequalities Via a Proximal Neurodynamic Network with Applications
This paper proposes a proximal neurodynamic network (PNDN) for solving mixed variational inequalities based on the proximal operator. It is shown...
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A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications
The objective of this work is to design a new iterative method based on Armijo’s type-modified extragradient method for solving the inclusion problem
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Linesearch methods for bilevel split pseudomonotone variational inequality problems
In this paper, we propose Linesearch methods for solving a bilevel split variational inequality problem (BSVIP) involving a strongly monotone map**...