Results 41 to 50 of about 745 (143)
A modified subgradient extragradient method for solving the variational inequality problem [PDF]
Numerical Algorithms, 2018 The subgradient extragradient method for solving the variational inequality (VI) problem, which is introduced by Censor et al. \cite{CGR}, replaces the second projection onto the feasible set of the VI, in the extragradient method, with a subgradient projection onto some constructible half-space.
Qiao-Li Dong, Dan Jiang, Aviv Gibali
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Mathematics, 2020 Two inertial subgradient extragradient algorithms for solving variational inequality problems involving pseudomonotone operator are proposed in this article.
Jamilu Abubakar +3 more
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A New Extragradient‐Type Algorithm for the Split Feasibility Problem
Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016 We consider the split feasibility problem (SFP) in Hilbert spaces, inspired by extragradient method presented by Ceng, Ansari for split feasibility problem, subgradient extragradient method proposed by Censor, and variant extragradient‐type method presented by Yao for variational inequalities; we suggest an extragradient‐type algorithm for the SFP.
Yazheng Dang +3 more
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Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert +3 more
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Mathematics, 2022 Educational data classification has become an effective tool for exploring the hidden pattern or relationship in educational data and predicting students’ performance or teachers’ competency.
Nipa Jun-on +2 more
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A hybrid method without extrapolation step for solving variational inequality problems
, 2014 In this paper, we introduce a new method for solving variational inequality problems with monotone and Lipschitz-continuous mapping in Hilbert space.
Malitsky, Yu. V., Semenov, V. V.
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A General Self‐Adaptive Relaxed‐PPA Method for Convex Programming with Linear Constraints
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We present an efficient method for solving linearly constrained convex programming. Our algorithmic framework employs an implementable proximal step by a slight relaxation to the subproblem of proximal point algorithm (PPA). In particular, the stepsize choice condition of our algorithm is weaker than some elegant PPA‐type methods.
Xiaoling Fu, Abdellah Bnouhachem
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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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On the Convergence of (Stochastic) Gradient Descent with Extrapolation for Non-Convex Optimization
, 2019 Extrapolation is a well-known technique for solving convex optimization and variational inequalities and recently attracts some attention for non-convex optimization. Several recent works have empirically shown its success in some machine learning tasks.
Jin, Rong +4 more
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An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.
Xueyong Wang +3 more
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