Results 151 to 160 of about 681 (178)

The Extragradient Method for Convex Optimization

2016
In this chapter we study convergence of the extragradient method for constrained convex minimization problems in a Hilbert space. Our goal is to obtain an e-approximate solution of the problem in the presence of computational errors, where e is a given positive number.
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A new extragradient-type method for mixed variational inequalities

Operations Research Letters, 2015
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Guo-ji Tang, Ming Zhu, Huan-Wen Liu
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EXTRAGRADIENT METHODS FOR QUASI-EQUILIBRIUM PROBLEMS IN BANACH SPACES

Journal of the Australian Mathematical Society, 2020
AbstractWe study the extragradient method for solving quasi-equilibrium problems in Banach spaces, which generalizes the extragradient method for equilibrium problems and quasi-variational inequalities. We propose a regularization procedure which ensures strong convergence of the generated sequence to a solution of the quasi-equilibrium problem, under ...
BEHZAD DJAFARI ROUHANI, VAHID MOHEBBI
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Explicit Extragradient-Like Method with Regularization for Variational Inequalities

Results in Mathematics, 2019
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Dang Van Hieu, Le Dung Muu, Pham Kim Quy, Le Van Vy   +3 more
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New extragradient-type methods for solving variational inequalities

Applied Mathematics and Computation, 2010
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Abdellah Bnouhachem, Xiao-Ling Fu, M. H. Xu, Zhaohan Sheng   +3 more
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EXTRAGRADIENT METHOD FOR VARIATIONAL INEQUALITIES

2014
In this paper, we suggest and analyze a new extragradient iterative method, which is suggested by combining a modified extragradient method with the viscosity approximation method, for finding the common element of the set of fixed points of a countable family of nonexpansive mappings, and the solution set of the variational inequality in a Hilbert ...
BNOUHACHEM, A., NOOR, M.a., NOOR, Muhammad Aslam, AL-SAİD, E., KHALFAOUİ , M., ZHAOHAN,  s.   +5 more
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A doublestep extragradient method for solving a problem of the management of resources

Automatic Control and Computer Sciences, 2011
A doublestep extragradient method for solving nonintrinsic problems of linear programming, variational inequalities, and some related problems is presented in the article. The convergence of this method in the general case is proved. The convergence of the method at the rate of geometric progression is proved for the problems of linear programming.
A. V. Zykina, N. V. Melen'chuk
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The Extragradient Method for Solving Variational Inequalities

2016
In a Hilbert space, we study the convergence of the subgradient method to a solution of a variational inequality, under the presence of computational errors. The convergence of the subgradient method for solving variational inequalities is established for nonsummable computational errors. We show that the subgradient method generates a good approximate
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Modified Stochastic Extragradient Methods for Stochastic Variational Inequality

Journal of Computational Mathematics
Summary: In this paper, we consider two kinds of extragradient methods to solve the pseudo-monotone stochastic variational inequality problem. First, we present the modified stochastic extragradient method with constant step-size (MSEGMC) and prove the convergence of it.
Zhang, Ling, Xu, Lingling
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Subgradient Extragradient Method with Double Inertial Steps for Variational Inequalities

Journal of Scientific Computing, 2022
Yonghong Yao, Olaniyi S Iyiola, Yekini Shehu   +2 more
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