Variational inequalities for generalized quasi-monotone maps.

DOI10.1016/j.aml.2004.01.001zbMath1078.49004OpenAlexW2065043887MaRDI QIDQ1767142

Byung-Soo Lee, Mee Kwang Kang

Publication date: 7 March 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.01.001

zbMATH Keywords

variational inequality problemKKM-Fan theoremgeneralized monotone mapsinner points

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05)

Related Items (1)

The existence result for the system of generalized vector quasi-variational-like inequalities

Cites Work

• A generalization of Tychonoff's fixed point theorem
• Complementarity problems over cones with monotone and pseudomonotone maps
• Pseudo-monotone complementarity problems in Hilbert space
• Characterization of generalized monotone maps
• Generalized vector variational inequality and fuzzy extension
• Vector equilibrium problems with generalized monotone bifunctions
• Criteria for differentiable generalized monotone maps
• From scalar to vector equilibrium problems in the quasimonotone case
• Seven kinds of monotone maps
• Generalized monotone bifunctions and equilibrium problems
• Quasimonotone variational inequalities in Banach spaces
• Existence theorems for vector variational inequalities
• Existence results for densely pseudomonotone variational inequalities
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