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Alternated inertial algorithms for split feasibility problems
We introduce four novel relaxed CQ algorithms with alternating inertial for solving split feasibility problems in real Hilbert spaces. The proposed...
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A stochastic two-step inertial Bregman proximal alternating linearized minimization algorithm for nonconvex and nonsmooth problems
In this paper, for solving a broad class of large-scale nonconvex and nonsmooth optimization problems, we propose a stochastic two-step inertial...
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A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions
In this paper, we introduce a new class of hybrid inertial and contraction proximal point algorithm for the variational inclusion problem of the sum...
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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...
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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 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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Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems
We study variational inequalities and fixed point problems in real Hilbert spaces. A new algorithm is proposed for finding a common element of the...
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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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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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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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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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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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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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New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
In this paper, we introduce a new algorithm which combines the inertial projection and contraction method and the viscosity method for solving...
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Iterative method with inertial terms for nonexpansive map**s: applications to compressed sensing
Our interest in this paper is to introduce a Halpern-type algorithm with both inertial terms and errors for approximating fixed point of a...
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An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems
In this paper, we introduce an inertial subgradient-type algorithm to find the common element of fixed point set of a family of nonexpansive map**s...
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A second-order dynamical system for equilibrium problems
We consider a second-order dynamical system for solving equilibrium problems in Hilbert spaces. Under mild conditions, we prove existence and...
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An efficient projection-type method for monotone variational inequalities in Hilbert spaces
We consider the monotone variational inequality problem in a Hilbert space and describe a projection-type method with inertial terms under the...
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Distributed algorithm for mixed equilibrium problems with event-triggered strategy
A new iterative method based on the event-triggered strategy for finding a solution to a mixed equilibrium problem (MEP) is introduced in this paper....
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A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems
In this paper, we consider a class of structured nonconvex nonsmooth optimization problems, in which the objective function is formed by the sum of a...
