General Wiener-Hopf equation technique for nonexpansive mappings and general variational inequalities in Hilbert spaces

DOI10.1016/j.amc.2008.01.007zbMath1157.65041OpenAlexW1967161423MaRDI QIDQ945308

Xiaolong Qin, Muhammad Aslam Noor

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.007

zbMATH Keywords

iterative algorithmfixed pointvariational inequalitynonexpansive mappingprojection methodWiener-Hopf equationrelaxed cocoercive mapping

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

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• General variational inequalities and nonexpansive mappings
• General variational inequalities
• Wiener-Hopf equations and variational inequalities
• Sensitivity analysis for quasi-variational inequalities
• Some new projection methods for variational inequalities
• Some developments in general variational inequalities
• Wiener-Hopf equations technique for quasimonotone variational inequalities
• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
• Equivalence of Variational Inequalities with Wiener-Hopf Equations

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