Results 51 to 60 of about 948 (198)
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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Axioms, 2023 In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang +5 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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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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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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AIMS Mathematics, 2023 In this paper, we introduce a new modified inertial Mann-type method that combines the subgradient extragradient method with the projection contraction method for solving quasimonotone variational inequality problems and fixed point problems in real ...
Rose Maluleka +2 more
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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.
Lin, Tianyi +2 more
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