Variational inequalities, coincidence theory, and minimax inequalities

DOI10.1016/S0893-9659(01)00077-5zbMath0998.47043MaRDI QIDQ5950677

Ravi P. Agarwal, Donal O'Regan

Publication date: 2 January 2002

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

zbMATH Keywords

variational inequalitiesminimax inequalitiesanalytic alternativescoincidence resultsfixed-point theorem for closed maps in Fréchet space

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10)

Related Items (4)

Existence results for variational-hemivariational problems with lack of convexity ⋮ Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges ⋮ Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space ⋮ On some generalized Ky Fan minimax inequalities

Cites Work

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• Coincidences for set-valued maps and minimax inequalities
• Fixed point theorems for set-valued maps and existence principles for integral inclusions
• A general coincidence theory for set-valued maps
• Infinite dimensional analysis. A hitchhiker's guide
• Comparison Theorems on Minimax Inequalities, Variational Inequalities, and Fixed Point Theorems
• A selection theorem and its applications
• Fixed points of approximable maps
• Fixed-point theory for set valued mappings between topological vector spaces having sufficiently many linear functionals

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