Results 41 to 50 of about 681 (178)

An Extragradient-Based Alternating Direction Method for Convex Minimization [PDF]

Foundations of Computational Mathematics, 2015
In this paper, we consider the problem of minimizing the sum of two convex functions subject to linear linking constraints. The classical alternating direction type methods usually assume that the two convex functions have relatively easy proximal mappings.
Tianyi Lin, Shiqian Ma, Shuzhong Zhang
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Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems

Abstract and Applied Analysis, 2013
We suggest and analyze relaxed extragradient iterative algorithms with regularization for finding a common element of the solution set of a general system of variational inequalities, the solution set of a split feasibility problem, and the fixed point ...
L. C. Ceng, A. Petruşel, J. C. Yao
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A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities Involving Pseudomonotone Mapping

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, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities [PDF]

SIAM Journal on Optimization, 2017
We propose an extragradient method with stepsizes bounded away from zero for stochastic variational inequalities requiring only pseudo-monotonicity. We provide convergence and complexity analysis, allowing for an unbounded feasible set, unbounded operator, non-uniform variance of the oracle and, also, we do not require any regularization. Alongside the
Alfredo N. Iusem, Alejandro Jofré, Roberto Imbuzeiro Oliveira, Philip Thompson   +3 more
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On Mann implicit composite subgradient extragradient methods for general systems of variational inequalities with hierarchical variational inequality constraints

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, Jen-Chih Yao, Yekini Shehu   +2 more
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Modified extragradient methods for solving variational inequalities

Computers & Mathematics with Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdellah Bnouhachem, M. H. Xu, Xiao-Ling Fu, Zhaohan Sheng   +3 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, Karahan, Ibrahim, ÖZDEMİR, Murat, Wairojjana, Nopparat   +3 more
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Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications

Mathematical Modelling and Analysis, 2022
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic stepsizes for solving monotone and Lipschitz continuous variational inequality problems in real Hilbert spaces.
Bing Tan, Xiaolong Qin
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Extragradient method for convex minimization problem [PDF]

Journal of Inequalities and Applications, 2014
Abstract In this paper, we introduce and analyze a multi-step hybrid extragradient algorithm by combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann’s iteration method and the gradient-projection method (GPM) with regularization in the setting of infinite-dimensional ...
Ceng, Lu-Chuan, Liou, Yeong-Cheng, Wen, Ching-Feng   +2 more
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A family of extragradient methods for solving equilibrium problems

, 2015
In this paper we introduce a class of numerical methods for solving an equilibrium problem. This class depends on a parameter and contains the classical extragradient method and a generalization of the two-step extragradient method proposed recently by ...
Van Nguyen, Thi Thu, Nguyen, Thi Phuong Dong, Nguyen, Van Hien, Strodiot, Jean-Jacques   +3 more
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