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   Articles with "subgradient extragradient" as a keyword



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An inertial subgradient extragradient method of variational inequality problems involving quasi‐nonexpansive operators with applications

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recommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7641

Abstract: In this work, a new algorithm is suggested to solve the variational inequality problems for Lipschitz continuous and monotone operators and the fixed point problems for quasi‐nonexpansive operators. This algorithm is constructed based on the… read more here.

Keywords: quasi nonexpansive; inertial subgradient; nonexpansive operators; variational inequality ... See more keywords
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Modified subgradient extragradient method for variational inequality problems

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recommendations! Published in 2017 at "Numerical Algorithms"

DOI: 10.1007/s11075-017-0452-4

Abstract: In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard… read more here.

Keywords: extragradient method; method; subgradient extragradient; inequality problems ... See more keywords
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Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems

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recommendations! Published in 2018 at "Numerical Algorithms"

DOI: 10.1007/s11075-018-0527-x

Abstract: In this paper, basing on the subgradient extragradient method and inertial method with line-search process, we introduce two new algorithms for finding a common element of the solution set of a variational inequality and the… read more here.

Keywords: extragradient; search process; subgradient extragradient; variational inequality ... See more keywords
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Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems

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recommendations! Published in 2020 at "Optimization Letters"

DOI: 10.1007/s11590-019-01511-z

Abstract: In this paper, two new algorithms are introduced for solving a pseudomontone variational inequality problem with a Lipschitz condition in a Hilbert space. The algorithms are constructed around three methods: the subgradient extragradient method, the… read more here.

Keywords: self adaptive; subgradient extragradient; variational inequality; inertial subgradient ... See more keywords
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Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces

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recommendations! Published in 2021 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2021.01.017

Abstract: Abstract The purpose of this work to investigate pseudomonotone and Lipschitz continuous variational inequalities in real Hilbert spaces. For solving this problem, we propose two new methods which combine advantages of the subgradient extragradient method… read more here.

Keywords: variational inequalities; extragradient methods; pseudomonotone; hilbert spaces ... See more keywords
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Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1634257

Abstract: ABSTRACT In this paper, we introduce an inertial algorithm for solving classical variational inequalities with Lipschitz continuous and pseudomonotone mapping in real Hilbert space. The algorithm is inspired by subgradient extragradient method and the inertial… read more here.

Keywords: subgradient extragradient; self adaptive; algorithm solving; variational inequalities ... See more keywords
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Modified subgradient extragradient algorithms for solving monotone variational inequalities

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recommendations! Published in 2018 at "Optimization"

DOI: 10.1080/02331934.2018.1523404

Abstract: ABSTRACT In this paper, we introduce two new algorithms for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in real Hilbert space. We modify the subgradient extragradient methods with a new step… read more here.

Keywords: algorithms solving; subgradient extragradient; modified subgradient; variational inequalities ... See more keywords
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New subgradient extragradient methods for solving monotone bilevel equilibrium problems

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recommendations! Published in 2019 at "Optimization"

DOI: 10.1080/02331934.2019.1656204

Abstract: ABSTRACT In this paper, we propose new subgradient extragradient methods for finding a solution of a strongly monotone equilibrium problem over the solution set of another monotone equilibrium problem which usually is called monotone bilevel… read more here.

Keywords: equilibrium problem; monotone; equilibrium; subgradient extragradient ... See more keywords
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On the convergence of inertial two-subgradient extragradient method for variational inequality problems

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recommendations! Published in 2019 at "Optimization"

DOI: 10.1080/02331934.2019.1686632

Abstract: ABSTRACT In 2012, Censor et al. proposed the so-called two-subgradient extragradient method (TSEGM) in which both projections have an explicit-formula because the projections are just executed onto half-spaces. However, the convergence of the TSEGM was… read more here.

Keywords: subgradient extragradient; two subgradient; open question; extragradient method ... See more keywords
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Inertial Haugazeau's hybrid subgradient extragradient algorithm for variational inequality problems in Banach spaces

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recommendations! Published in 2020 at "Optimization"

DOI: 10.1080/02331934.2020.1731808

Abstract: The variational inequality problem plays an important role in nonlinear analysis and optimization. It is a generalization of the nonlinear complementarity problem. For a variational inequality problem in a Hilbert space, the extragradient algorithm with… read more here.

Keywords: extragradient algorithm; subgradient extragradient; inequality; variational inequality ... See more keywords
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A modified subgradient extragradient method for solving monotone variational inequalities

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recommendations! Published in 2017 at "Journal of Inequalities and Applications"

DOI: 10.1186/s13660-017-1366-3

Abstract: In the setting of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex function. Our iterative process is relaxed and… read more here.

Keywords: extragradient method; method; variational inequalities; subgradient extragradient ... See more keywords