Nonlinear variational inequalities on convex subsets of Banach spaces

DOI10.1016/S0893-9659(97)00054-2zbMath0905.47055MaRDI QIDQ1372296

Ram U. Verma

Publication date: 12 November 1997

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

zbMATH Keywords

variational inequalitiesexistence results\(p\)-monotone operators

Mathematics Subject Classification ID

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

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Cites Work

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• Positive solutions of variational inequalities: A degree-theoretic approach
• Applications of variational inequalities to nonlinear analysis
• Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators
• Nonlinear monotone operators and convex sets in Banach spaces