Results 71 to 80 of about 948 (198)
Abstract and Applied Analysis, 2012 We suggest and analyze a modified extragradient method for solving variational inequalities, which is convergent strongly to the minimum-norm solution of some variational inequality in an infinite-dimensional Hilbert space.
Yonghong Yao +2 more
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New extragradient-type methods for general variational inequalities
Journal of Mathematical Analysis and Applications, 2003 In this paper, the author suggested and analyzed extragradient-type methods for solving general variational inequalities by using the projection technique and the Wiener-Hopf equations technique, respectively. As applications, some results concerned with a class of quasi-variational inequalities are derived.
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Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization [PDF]
SIAM Journal on Optimization, 2017 We study the extension of the Chambolle--Pock primal-dual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces. Local convergence is shown under technical conditions including metric regularity of the corresponding primal-dual optimality conditions.
Clason, Christian, Valkonen, Tuomo
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A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 We introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial extrapolation method for solving the resolvent of sum of two monotone operators without the knowledge of ...
H. A. Abass, M. Aphane, O. K. Oyewole
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Low-rank extragradient methods for scalable semidefinite optimization
Operations Research LettersWe consider several classes of highly important semidefinite optimization problems that involve both a convex objective function (smooth or nonsmooth) and additional linear or nonlinear smooth and convex constraints, which are ubiquitous in statistics, machine learning, combinatorial optimization, and other domains.
Garber, Dan, Kaplan, Atara
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A Strongly Convergent Method for the Split Feasibility Problem
Abstract and Applied Analysis, 2012 The purpose of this paper is to introduce and analyze a strongly convergent method which combined regularized method, with extragradient method for solving the split feasibility problem in the setting of infinite-dimensional Hilbert spaces. Note that the
Yonghong Yao +2 more
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Journal of Applied Mathematics, 2012 We investigate the problem of finding a common solution of a general system of variational inequalities, a variational inclusion, and a fixed-point problem of a strictly pseudocontractive mapping in a real Hilbert space.
Lu-Chuan Ceng, Ching-Feng Wen
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Proximal extragradient methods for pseudomonotone variational inequalities
Tamkang Journal of Mathematics, 2006 We consider and analyze some new proximal extragradient type methods for solving variational inequalities. The modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. These new iterative methods include the projection, extragradient and proximal methods as special cases.
Muhammad Aslam Noor, Abdellah Bnouhachem
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Fixed Point Theory and Applications, 2011 We propose a hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a strictly pseudocontractive ...
Guu Sy-Ming, Yao Jen-Chih, Ceng Lu-Chuan
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MathematicsThis paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces.
Habib ur Rehman +2 more
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