Results 11 to 20 of about 681 (178)
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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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
Lu-Chuan Ceng, Qing Yuan
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Extragradient methods for solving nonconvex variational inequalities
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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Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem [PDF]
Journal of Inequalities and Applications, 2017 This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces.
Ying Zhao, Luoyi Shi
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Modified Relaxed Extragradient Method for a General System of Variational Inequalities and Nonexpansive Mappings in Banach Spaces [PDF]
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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An extragradient-like approximation method for variational inequalities and fixed point problems [PDF]
Fixed Point Theory and Applications, 2011 The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of a variational inequality problem ...
Wong Ngai-Ching +3 more
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