Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces
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Publication:1736472
DOI10.1007/s13160-018-00341-3OpenAlexW2904899490WikidataQ128723660 ScholiaQ128723660MaRDI QIDQ1736472
Publication date: 26 March 2019
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13160-018-00341-3
variational inequality problemviscosity methodprojection and contraction methodsubgradient extragradient methodMann type method
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (11)
An inertial Popov's method for solving pseudomonotone variational inequalities ⋮ New Bregman projection methods for solving pseudo-monotone variational inequality problem ⋮ Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems ⋮ Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem ⋮ Modified inertial projection and contraction algorithms with non-monotonic step sizes for solving variational inequalities and their applications ⋮ Inertial projection and contraction methods for pseudomonotone variational inequalities with non-Lipschitz operators and applications ⋮ A new iterative method for solving pseudomonotone variational inequalities with non-Lipschitz operators ⋮ Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators ⋮ Strong convergence of a forward-backward splitting method with a new step size for solving monotone inclusions ⋮ Accelerated subgradient extragradient methods for variational inequality problems ⋮ Strong convergence of inertial projection and contraction methods for pseudomonotone variational inequalities with applications to optimal control problems
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