Multivalued parametric variational inequalities with \(\alpha\)-pseudomonotone maps

DOI10.1023/A:1004600631797zbMath0968.49010OpenAlexW38377613MaRDI QIDQ5925732

József Kolumbán, Gábor Kassay

Publication date: 19 February 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004600631797

zbMATH Keywords

multivalued variational inequalitiesparametric optimizationpseudomonotone maps

Mathematics Subject Classification ID

Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31)

Related Items (12)

Generalized monotonicity and convexity of non-differentiable functions ⋮ On injectivity of a class of monotone operators with some univalency consequences ⋮ Some regularities for parametric equilibrium problems ⋮ On nonlinear parametric variational inequalities ⋮ CHARACTERIZATION OF APPROXIMATE MONOTONE OPERATORS ⋮ An existence result for strongly pseudomonotone quasi-variational inequalities ⋮ Stability analysis for Minty mixed variational inequality in reflexive Banach spaces ⋮ Semicontinuity of the solution multifunctions of the parametric generalized operator equilibrium problems ⋮ Conditioning for optimization problems under general perturbations ⋮ Lower semicontinuity and upper semicontinuity of the solution sets and approximate solution sets of parametric multivalued quasivariational inequalities ⋮ Stability analysis for variational inequality in reflexive Banach spaces ⋮ Stability for differential mixed variational inequalities

Cites Work

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• Complementarity problems over cones with monotone and pseudomonotone maps
• Pseudo-monotone complementarity problems in Hilbert space
• Characterization of generalized monotone maps
• Multi-valued variational inequalities with \(K\)-pseudomonotone operators
• Seven kinds of monotone maps
• On the equivalence of nonlinear complementarity problems and least-element problems
• Monotone generalized variational inequalities and generalized complementarity problems
• On some non-linear elliptic differential functional equations
• Quasimonotone variational inequalities in Banach spaces
• Sensitivity Analysis in Variational Inequalities
• Regularity and Stability for Convex Multivalued Functions

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