On iterative methods for solving a system of mixed variational inequalities

DOI10.1080/00036810701799777zbMath1354.49015OpenAlexW1979756393WikidataQ58173607 ScholiaQ58173607MaRDI QIDQ5448691

Muhammad Aslam Noor

Publication date: 7 March 2008

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810701799777

zbMATH Keywords

Hilbert spacesgeneral explicit iteration algorithmsLipschitzian continuoussystem of nonlinear variational inequalities with different mappingsrelaxed (\(\gamma, r\))-cocoercive mappings

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

• Generalized system for relaxed cocoercive variational inequalities and projection methods
• General convergence analysis for two-step projection methods and applications to variational problems
• Merit functions for general variational inequalities
• Set-valued resolvent equations and mixed variational inequalities
• Some aspects of variational inequalities
• Wiener-Hopf equations and variational inequalities
• Mixed quasi variational inequalities.
• New approximation schemes for general variational inequalities
• Self-adaptive projection algorithms for general variational inequalities
• New extragradient-type methods for general variational inequalities.
• Some developments in general variational inequalities
• Projection-proximal methods for general variational inequalities
• An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings
• Variational inequalities
• Generalized system for relaxed cocoercive variational inequalities in Hilbert spaces

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