Results 51 to 60 of about 2,114 (158)
Journal of Inequalities and Applications, 2019 In this paper, we introduce a new algorithm with self-adaptive method for finding a solution of the variational inequality problem involving monotone operator and the fixed point problem of a quasi-nonexpansive mapping with a demiclosedness property in a
Ming Tian, Mengying Tong
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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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Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9637-9668, August 2024.A survey of the existing results in the literature shows that several of the results on variational inequality problem were established under some stringent conditions and employed some form of linesearch technique even in the framework of Hilbert spaces. However, due to the loop nature of the linesearch technique, the implementation of such algorithms
Oluwatosin T. Mewomo +3 more
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MathematicsThe primary objective of this article is to enhance the convergence rate of the extragradient method through the careful selection of inertial parameters and the design of a self-adaptive stepsize scheme.
Habib ur Rehman +3 more
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Abstract and Applied Analysis, 2013 The purpose of this paper is to introduce and analyze the Mann-type extragradient iterative algorithms with regularization for finding a common element of the solution set Ξ of a general system of variational inequalities, the solution set Γ of a split ...
Lu-Chuan Ceng +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
Iusem, A. N. +3 more
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A Neural Network Based on a Nonsmooth Equation for a Box Constrained Variational Inequality Problem
Journal of Mathematics, Volume 2024, Issue 1, 2024.The variational inequality framework holds significant prominence across various domains including economic finance, network transportation, and game theory. In addition, a novel approach utilizing a neural network model is introduced in the current work to address a box constrained variational inequality problem.
Yanan Wang +4 more
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Journal of Mathematics, Volume 2024, Issue 1, 2024.In this research, the modified subgradient extragradient method and K‐mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational ...
Sarawut Suwannaut, Erhan Güler
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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.
Bnouhachem, Abdellah +3 more
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Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper aims to introduce an iterative algorithm based on an inertial technique that uses the minimum number of projections onto a nonempty, closed, and convex set. We show that the algorithm generates a sequence that converges strongly to the common solution of a variational inequality involving inverse strongly monotone mapping and fixed point ...
Watanjeet Singh +2 more
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