Auxiliary principle for generalized strongly nonlinear mixed variational-like inequalities

DOI10.1155/2009/758786zbMath1206.49010OpenAlexW2066846653WikidataQ59248812 ScholiaQ59248812MaRDI QIDQ1035540

Lin Chen, Kang, Shin Min, Liu, Zeqing, Ume, Jeong Sheok

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/117830

zbMATH Keywords

iterative algorithmauxiliary principle techniqueKKM theorystrongly nonlinear mixed variational-like inequalities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

Cites Work

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• Generalized nonlinear variational-like inequalities
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• Auxiliary problem principle extended to variational inequalities
• The generalized quasi-variational inequality problem with applications
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• Existence and algorithm of solutions for nonlinear mixed variational-like inequalities in Banach spaces.
• Variational-like inequalities with generalized monotone mappings in Banach spaces
• General strongly nonlinear quasivariational inequalities with relaxed Lipschitz and relaxed monotone mappings
• Iterative algorithm for finding approximate solutions of a class of mixed variational-like inequal\-ities
• Auxiliary principle and iterative algorithms for generalized set-valued strongly nonlinear mixed variational-like inequalities
• Iterative schemes for solving mixed variational-like inequalities

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