Variational inequalities for perturbations of maximal monotone operators in reflexive Banach spaces

DOI10.2748/tmj/1404911860zbMath1318.47082OpenAlexW1996981561MaRDI QIDQ740776

Athanassios G. Kartsatos, Teffera M. Asfaw

Publication date: 9 September 2014

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1404911860

zbMATH Keywords

variational inequalitiesmaximally monotone operatorsnonlinear operatorsexistence problemspseudomonotone and strongly quasibounded operators

Mathematics Subject Classification ID

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

Related Items (6)

Maximality theorems on the sum of two maximal monotone operators and application to variational inequality problems ⋮ A new topological degree theory for pseudomonotone perturbations of the sum of two maximal monotone operators and applications ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ A variational inequality theory for constrained problems in reflexive Banach spaces ⋮ New surjectivity results for perturbed weakly coercive operators of monotone type in reflexive Banach spaces ⋮ A topological degree theory for perturbed \(\mathcal{A}_G(S_+)\)-operators and applications to nonlinear problems

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