Results 11 to 20 of about 10,988,230 (174)
Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
Journal of Mathematics, 2021 In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu +3 more
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Journal of Mathematics, 2023 In real Hilbert spaces, let the CFPP indicate a common fixed-point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a ...
Yun-Ling Cui +6 more
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Mathematics, 2022 The paper develops a modified inertial subgradient extragradient method to find a solution to the variational inequality problem over the set of common solutions to the variational inequality and null point problems.
Yanlai Song, Omar Bazighifan
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Modified Noor's Extragradient Method for Solving Generalized Variational Inequalities in Banach Spaces [PDF]
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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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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Axioms, 2020 Several methods have been put forward to solve equilibrium problems, in which the two-step extragradient method is very useful and significant. In this article, we propose a new extragradient-like method to evaluate the numerical solution of the ...
Nopparat Wairojjana +3 more
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On a General Extragradient Implicit Method and Its Applications to Optimization [PDF]
Symmetry, 2020 Let X be a Banach space with both q-uniformly smooth and uniformly convex structures. This article introduces and considers a general extragradient implicit method for solving a general system of variational inequalities (GSVI) with the constraints of a common fixed point problem (CFPP) of a countable family of nonlinear mappings { S n } n = 0
Ceng, Lu-Chuan, Yuan, Qing
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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.
Ruichen Jiang +2 more
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Extragradient methods for solving nonconvex variational inequalities [PDF]
Journal of Computational and Applied Mathematics, 2011 This paper is devoted to the study of a new class of variational inequalities (the nonconvex variational inequalities), and for a new class of nonconvex sets (uniformly prox-regular set \(K_r\)). This class of uniformly prox-regular sets have played an important part in many nonconvex applications (optimization, dynamic systems and differential ...
Muhammad Aslam Noor +3 more
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A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]
, 2008 The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
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