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   Articles with "variational inequality" 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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A class of Benders decomposition methods for variational inequalities

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recommendations! Published in 2020 at "Computational Optimization and Applications"

DOI: 10.1007/s10589-019-00157-y

Abstract: We develop new variants of Benders decomposition methods for variational inequality problems. The construction is done by applying the general class of Dantzig–Wolfe decomposition of Luna et al. (Math Program 143(1–2):177–209, 2014) to an appropriately… read more here.

Keywords: class; variational inequalities; methods variational; decomposition methods ... See more keywords
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Modified Projection Methods for Solving Multi-valued Variational Inequality without Monotonicity

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recommendations! Published in 2019 at "Networks and Spatial Economics"

DOI: 10.1007/s11067-019-09485-2

Abstract: In this paper, we propose two new projection-type algorithms for solving the multi-valued variational inequality in finite dimensional spaces. We prove the convergence of the sequences generated by the proposed projection-type algorithms without any monotonicity.… read more here.

Keywords: without monotonicity; solving multi; valued variational; multi valued ... 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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Existence results for vector variational inequality problems on Hadamard manifolds

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recommendations! Published in 2020 at "Optimization Letters"

DOI: 10.1007/s11590-020-01562-7

Abstract: In this paper, we introduce and study vector variational inequality problems (VVIP) on Hadamard manifolds. The concepts of C -pseudomonotone, v -hemicontinuous and v -coercive operators are given. Some existence results for VVIP are obtained… read more here.

Keywords: hadamard manifolds; vector variational; inequality problems; variational inequality ... See more keywords
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Inertial iterative algorithms for common solution of variational inequality and system of variational inequalities problems

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recommendations! Published in 2020 at "Journal of Applied Mathematics and Computing"

DOI: 10.1007/s12190-020-01395-8

Abstract: The article introduces a new algorithm for solving a class of variational inequality problems for monotone operators and system of nonlinear variational inequalities problems for two inverse strongly monotone operators. We describe how to incorporate… read more here.

Keywords: system; inequalities problems; variational inequalities; inertial iterative ... See more keywords
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Homogenization of some degenerate pseudoparabolic variational inequalities

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recommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2018.08.047

Abstract: Abstract Multiscale analysis of a degenerate pseudoparabolic variational inequality, modelling the two-phase flow with dynamical capillary pressure in a perforated domain, is the main topic of this work. Regularisation and penalty operator methods are applied… read more here.

Keywords: homogenization degenerate; degenerate pseudoparabolic; variational inequalities; variational inequality ... See more keywords
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Variational inequality with almost history-dependent operator for frictionless contact problems

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recommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2019.123803

Abstract: Abstract We study two quasistatic contact problems which describe the frictionless contact between a body and deformable foundation on an infinite time interval. The contact is modelled by the normal compliance condition with limited penetration… read more here.

Keywords: almost history; history dependent; contact problems; variational inequality ... See more keywords
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Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds

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recommendations! Published in 2019 at "Applicable Analysis"

DOI: 10.1080/00036811.2019.1695783

Abstract: ABSTRACT This paper is devoted to two efficient algorithms for solving variational inequality on Hadamard manifolds. The algorithms are inspired by Tseng's extragradient methods with new step sizes, established without the knowledge of the Lipschitz… read more here.

Keywords: hadamard manifolds; extragradient methods; inequality hadamard; inequality ... See more keywords