Exceptional family and solution existence of variational inequality problems with set-valued mappings

DOI10.1016/j.aml.2008.03.012zbMath1163.49305OpenAlexW1995020956MaRDI QIDQ1027496

Liya Fan, Wenxin Zhu

Publication date: 29 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2008.03.012

zbMATH Keywords

alternative theoremtopological degreeexceptional families of elementssolution existencevariational inequality with a set-valued mapping

Mathematics Subject Classification ID

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

Cites Work

• Generalization of an existence theorem for variational inequalities
• A solution condition for complementarity problems: With an application to spatial price equilibrium
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Complementarity problems and variational inequalities. A unified approach of solvability by an implicit Leray-Schauder type alternative
• Solvability of variational inequality problems
• Minimal coercivity conditions and exceptional families of elements in quasimonotone variational inequalities
• Exceptional family of elements for a variational inequality problem and its applications
• Exceptional families of elements for continuous functions: Some applications to complementarity theory
• Exceptional family of elements and solvability of variational inequalities for mappings defined only on closed convex cones in Banach spaces

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