Results 21 to 30 of about 681 (178)
Extension of Extragradient Techniques for Variational Inequalities
Mathematics, 2019 An extragradient type method for finding the common solutions of two variational inequalities has been proposed. The convergence result of the algorithm is given under mild conditions on the algorithm parameters.
Yonghong Yao +3 more
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Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities [PDF]
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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A doublestep extragradient method for solving a resource management problem
Моделирование и анализ информационных систем, 2010 In the article is proposed a doublestep extragradient method for solving nonintrinsic problems of linear programming, variational inequalities and some related problems. The convergence of this method in general case is proved.
A. V. Zykina, N. V. Melenchuk
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A modified subgradient extragradient method for solving monotone variational inequalities. [PDF]
J Inequal Appl, 2017 In the setting of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex function.
He S, Wu T.
europepmc +2 more sources
Extragradient Method in Optimization: Convergence and Complexity [PDF]
Journal of Optimization Theory and Applications, 2017 We consider the extragradient method to minimize the sum of two functions, the first one being smooth and the second being convex. Under the Kurdyka-Lojasiewicz assumption, we prove that the sequence produced by the extragradient method converges to a critical point of the problem and has finite length.
Trong Phong Nguyen +3 more
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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper considers an alternated inertial‐type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split variational inequality and fixed‐point constraints of demimetric mapping.
Jacob Ashiwere Abuchu +5 more
wiley +1 more source
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we present improved iterative methods for evaluating the numerical solution of an equilibrium problem in a Hilbert space with a pseudomonotone and a Lipschitz‐type bifunction. The method is built around two computing phases of a proximal‐like mapping with inertial terms.
Chainarong Khunpanuk +3 more
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Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz‐type continuous bifunctions are involved in a real Hilbert space. The first method needs the prior knowledge of the Lipschitz constants of the bifunctions while the second method uses a
Gaobo Li, Sun Young Cho
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Decentralized Stochastic Variance Reduced Extragradient Method
CoRR, 2022 This paper studies decentralized convex-concave minimax optimization problems of the form $\min_x\max_y f(x,y) \triangleq\frac{1}{m}\sum_{i=1}^m f_i(x,y)$, where $m$ is the number of agents and each local function can be written as $f_i(x,y)=\frac{1}{n}\sum_{j=1}^n f_{i,j}(x,y)$.
Luo Luo, Haishan Ye
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Computational and Mathematical Methods, Volume 2022, Issue 1, 2022., 2022 Many applications in applied sciences and engineering can be considered as the convex minimization problem with the sum of two functions. One of the most popular techniques to solve this problem is the forward‐backward algorithm. In this work, we aim to present a new version of splitting algorithms by adapting with Tseng’s extragradient method and ...
Kunrada Kankam +3 more
wiley +1 more source