A forward-backward-forward algorithm for solving quasimonotone variational inequalities
type: Item
instance of: scholarly article
title: A forward-backward-forward algorithm for solving quasimonotone variational inequalities
zbMATH Open document ID: 1493.47108
DOI: 10.1155/2022/7117244
author: Tzu-Chien Yin
author: Nawab Hussain
published in: Journal of Function Spaces
publication date: 2022-01-31T00:00:00Z
review text: Summary: In this paper, we continue to investigate the convergence analysis of Tseng-type forward-backward-forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self-adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators. Furthermore, we weaken the sequential weak continuity of quasimonotone operators to a weaker condition. Under some mild assumptions, we prove that Tseng-type forward-backward-forward algorithm converges weakly to a solution of quasimonotone variational inequalities.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47H05
zbMATH DE Number: 7466792
zbMATH Keywords: forward-backward-forward algorithm
zbMATH Keywords: quasimonotone variational inequalities
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/7117244
OpenAlex ID: W4205833795
cites work: Q5737280
cites work: Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions
cites work: Convex analysis and monotone operator theory in Hilbert spaces
cites work: Q3694624
cites work: Convex programming in Hilbert space
cites work: A projected subgradient method for nondifferentiable quasiconvex multiobjective optimization problems
cites work: Pseudo-monotone complementarity problems in Hilbert space
cites work: Finite-Dimensional Variational Inequalities and Complementarity Problems
cites work: Q4382733
cites work: Kannan's fixed point approximation for solving split feasibility and variational inequality problems
cites work: Self-adaptive algorithms for the split problem of the demicontractive operators
cites work: Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions
cites work: On the approximation of fixed points of non-self strict pseudocontractions
cites work: Q5860782
cites work: Q3181225
cites work: Q5038814
cites work: Convergence theorems for generalized contractions and applications
cites work: A new faster iterative scheme for numerical fixed points estimation of Suzuki's generalized nonexpansive mappings
cites work: Q4604753
cites work: Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
cites work: The subgradient extragradient method for solving variational inequalities in Hilbert space
cites work: Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations
cites work: A General Inertial Proximal Point Algorithm for Mixed Variational Inequality Problem
cites work: Strong convergence of projected reflected gradient methods for variational inequalities
cites work: Construction algorithms for a class of monotone variational inequalities
cites work: Proximal extrapolated gradient methods for variational inequalities
cites work: A New Projection Method for Variational Inequality Problems
cites work: A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
cites work: On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
cites work: Q5038612
cites work: The extragradient method for quasi-monotone variational inequalities
cites work: Q5038709
cites work: A double projection method for solving variational inequalities without monotonicity
cites work: Minimum-norm solution of variational inequality and fixed point problem in banach spaces
cites work: Homotopy method for solving mathematical programs with bounded box-constrained variational inequalities
cites work: Q5038774
cites work: Q4667362
cites work: A relaxed projection method for variational inequalities
cites work: Modified projection method for strongly pseudomonotone variational inequalities
cites work: Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
cites work: Q4110807
cites work: Q4581243
cites work: Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems
cites work: Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
cites work: Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems
cites work: The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces
cites work: A forward-backward-forward differential equation and its asymptotic properties
cites work: Linesearch methods for bilevel split pseudomonotone variational inequality problems
cites work: Self-adaptive projection method for co-coercive variational inequalities
cites work: Q5215312
cites work: A self-adaptive projection and contraction method for monotone symmetric linear variational inequalities.
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