An existence theorem for generalized variational inequalities with discontinuous and pseudomonotone operators

DOI10.1016/j.na.2010.10.022zbMath1235.47062OpenAlexW2041516769MaRDI QIDQ622422

Gue Myung Lee, Bui Trong Kien

Publication date: 31 January 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.10.022

zbMATH Keywords

sensitivitystabilityordinary differential operatorssolution existencegeneralized variational inequalityB-pseudomonotone operatorC-pseudomonotone operatorK-pseudomonotone operator

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) General theory of ordinary differential operators (47E05)

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Cites Work

• Unnamed Item
• Unnamed Item
• On quasimonotone variational inequalities.
• On general minimax theorems
• A generalization of Tychonoff's fixed point theorem
• On the solution existence of pseudomonotone variational inequalities
• Solution existence of variational inequalities with pseudomonotone operators in the sense of Brézis
• Elementary proof for Sion's minimax theorem
• Complementarity problems over cones with monotone and pseudomonotone maps
• Variational inequalities with nonmonotone operators
• Variational and generalized variational inequalities with discontinuous mappings
• Pseudomonotone variational inequality problems: Existence of solutions
• On an existence theorem for generalized quasi-variational inequalities
• On pseudomonotone set-valued mappings
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Nonlinear mappings of monotone type in Banach spaces
• Equilibrium problems and variational inequalities in topological vector spaces
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• Generalized Monotone Equilibrium Problems and Variational Inequalities