Results 41 to 50 of about 948 (198)
Abstract and Applied Analysis, 2012 Motivated and inspired by Korpelevich's and Noor's extragradient methods, we suggest an extragradient method by using the sunny nonexpansive retraction which has strong convergence for solving the generalized variational inequalities in Banach spaces.
Shunhou Fan +3 more
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Mathematics, 2022 Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk +2 more
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Journal of Inequalities and Applications, 2022 In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng +2 more
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The Tseng’s extragradient method for semistrictly quasimonotone variational inequalities
Journal of Applied and Numerical Optimization, 2022 © 2022 Journal of Applied and Numerical Optimization.In this paper, we investigate the weak convergence of an iterative method for solving classical variational inequalities problems with semistrictly quasimonotone and Lipschitz-continuous mappings in real Hilbert space.
Ur Rehman, Habib +3 more
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A Mean Extragradient Method for Solving Variational Inequalities [PDF]
Symmetry, 2021 We propose a modified extragradient method for solving the variational inequality problem in a Hilbert space. The method is a combination of the well-known subgradient extragradient with the Mann’s mean value method in which the updated iterate is picked in the convex hull of all previous iterates.
Apichit Buakird +2 more
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Abstract and Applied Analysis, 2012 The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestrongly monotone mappings and nonexpansive mappings in the ...
Yuanheng Wang, Liu Yang
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Inertial Extragradient Methods for Solving Split Equilibrium Problems [PDF]
Mathematics, 2021 This paper presents two inertial extragradient algorithms for finding a solution of split pseudomonotone equilibrium problems in the setting of real Hilbert spaces. The weak and strong convergence theorems of the introduced algorithms are presented under some constraint qualifications of the scalar sequences.
Suthep Suantai +2 more
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Examples and CounterexamplesIn this article, we introduce the G-Tseng’s extragradient method, inspired by the extragradient method defined by Korpelevich, for solving G-variational inequality problems in Hilbert space.
Monika Swami, M.R. Jadeja
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Steplengths in the extragradient type methods
Journal of Computational and Applied Mathematics, 2010 The authors consider extragradient type methods for monotone variational inequalities. Two new kinds of steplengths in the extragradient type methods are studied. They also give some numerical experiments to illustrate their results.
Wang, Xiang, He, Bingsheng, Liao, Li-Zhi
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Stochastic Newton Proximal Extragradient Method
Advances in Neural Information Processing Systems 37Stochastic second-order methods achieve fast local convergence in strongly convex optimization by using noisy Hessian estimates to precondition the gradient. However, these methods typically reach superlinear convergence only when the stochastic Hessian noise diminishes, increasing per-iteration costs over time.
Jiang, Ruichen +2 more
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