Results 41 to 50 of about 10,988,230 (174)
Abstract and Applied Analysis, 2013 We suggest and analyze relaxed extragradient iterative algorithms with regularization for finding a common element of the solution set of a general system of variational inequalities, the solution set of a split feasibility problem, and the fixed point ...
L. C. Ceng, A. Petruşel, J. C. Yao
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Mathematics, 2022 Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk +2 more
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Journal of Inequalities and Applications, 2022 In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng +2 more
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Extragradient method for convex minimization problem [PDF]
Journal of Inequalities and Applications, 2014 Abstract In this paper, we introduce and analyze a multi-step hybrid extragradient algorithm by combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann’s iteration method and the gradient-projection method (GPM) with regularization in the setting of infinite-dimensional ...
Ceng, Lu-Chuan +2 more
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Extragradient Type Methods for Riemannian Variational Inequality Problems
CoRR, 2023 Riemannian convex optimization and minimax optimization have recently drawn considerable attention. Their appeal lies in their capacity to adeptly manage the non-convexity of the objective function as well as constraints inherent in the feasible set in the Euclidean sense. In this work, we delve into monotone Riemannian Variational Inequality Problems (
Zihao Hu +5 more
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Abstract and Applied Analysis, 2012 The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestrongly monotone mappings and nonexpansive mappings in the ...
Yuanheng Wang, Liu Yang
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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.
Abdellah Bnouhachem +3 more
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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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The Tseng’s extragradient method for semistrictly quasimonotone variational inequalities
Journal of Applied and Numerical Optimization, 2022 © 2022 Journal of Applied and Numerical Optimization.In this paper, we investigate the weak convergence of an iterative method for solving classical variational inequalities problems with semistrictly quasimonotone and Lipschitz-continuous mappings in real Hilbert space.
Ur Rehman, Habib +3 more
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