The extragradient method for quasi-monotone variational inequalities
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Publication:5038152
DOI10.1080/02331934.2020.1860979zbMath1503.49015OpenAlexW3116233867MaRDI QIDQ5038152
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Publication date: 29 September 2022
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1860979
weak convergenceHilbert spacesquasi-monotonicityvariational inequality problemsextragradient algorithm
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence theories for problems in abstract spaces (49J27)
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Cites Work
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- A modified extragradient method for infinite-dimensional variational inequalities
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Solution methods for pseudomonotone variational inequalities
- Pseudo-monotone complementarity problems in Hilbert space
- Combined relaxation methods for variational inequalities
- On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
- Characterization of nonsmooth semistrictly quasiconvex and strictly quasiconvex functions
- Seven kinds of monotone maps
- Outer approximation methods for solving variational inequalities in Hilbert space
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Strong convergence of an iterative algorithm for a class of nonlinear set-valued variational inclusions
- Existence of Solutions to Weakly Generalized Vector F-implicit Variational Inequalities
