Some properties of “well–posed” variational. inequalities governed by linear operators

DOI10.1080/01630568308816145zbMath0517.49007OpenAlexW1979257760MaRDI QIDQ3665761

Fioravante Patrone, Roberto Lucchetti

Publication date: 1983

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568308816145

zbMATH Keywords

well-posed variational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Normed linear spaces and Banach spaces; Banach lattices (46B99) Monotone operators and generalizations (47H05) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (31)

Metric characterizations for well-posedness of split hemivariational inequalities ⋮ Tykhonov well-posedness of a viscoplastic contact problem ⋮ Tykhonov well-posedness of a heat transfer problem with unilateral constraints. ⋮ Some developments in general variational inequalities ⋮ On a class of nonconvex equilibrium problems ⋮ Tykhonov well-posedness of fixed point problems in contact mechanics ⋮ On the well-posedness of variational-hemivariational inequalities and associated fixed point problems ⋮ Tykhonov well-posedness of a mixed variational problem ⋮ Well-posedness of the split inverse variational inequality problem ⋮ Levitin-Polyak well-posedness by perturbations of split minimization problems ⋮ Levitin-Polyak well-posedness for split equilibrium problems ⋮ Unnamed Item ⋮ Convergence results for elliptic variational-hemivariational inequalities ⋮ Well-posed constrainted problems with applications in contact mechanics ⋮ Convergence analysis for elliptic quasivariational inequalities ⋮ Well-posed hemivariational inequalities ⋮ On the Tykhonov well-posedness of an antiplane shear problem ⋮ A New Approach To Tikhonov Well-Posedness For Nash Equilibria^∗ ⋮ Tykhonov well-posedness of a frictionless unilateral contact problem ⋮ Levitin-Polyak well-posedness by perturbations for the split inverse variational inequality problem ⋮ Metrically well-set minimization problems ⋮ Invex equilibrium problems ⋮ Tykhonov Well-posedness of Elliptic Variational-Hemivariational Inequalities ⋮ Unnamed Item ⋮ Characterizations of Levitin–Polyak well-posedness by perturbations for the split variational inequality problem ⋮ Well-posed minimum problems for preorders ⋮ Tykhonov well-posedness of split problems ⋮ Tykhonov triples and convergence results for hemivariational inequalities ⋮ A Tykhonov-type well-posedness concept for elliptic hemivariational inequalities ⋮ The nucleolus is well-posed ⋮ Well-posed variational inequalities.

Cites Work

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• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
• On the stability of the functional optimization problem
• Demicontinuity, hemicontinuity and monotonicity

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