An extension of subgradient method for variational inequality problems in Hilbert space

DOI10.1155/2013/531912zbMath1272.49020OpenAlexW2087889637WikidataQ58917048 ScholiaQ58917048MaRDI QIDQ370019

Xueyong Wang, Xi Peng Kou, Sheng Jie Li

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/531912

zbMATH Keywords

fixed pointvariational inequalitynonexpansive mappingsubgradient methodHilbert spacesiterative process

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (3)

Two algorithms for solving single-valued variational inequalities and fixed point problems ⋮ Nonreciprocity as a generic route to traveling states ⋮ A new alternating direction method for linearly constrained nonconvex optimization problems

Cites Work

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• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Modified extragradient method for variational inequalities and verification of solution existence
• Stationary points of bound constrained minimization reformulations of complementarity problems
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• A New Projection Method for Variational Inequality Problems
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• On the Maximality of Sums of Nonlinear Monotone Operators
• On the basic theorem of complementarity
• Unified framework of extragradient-type methods for pseudomonotone variational inequalities.
• Improvements of some projection methods for monotone nonlinear variational inequalities

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