Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces

DOI10.1016/j.na.2011.10.013zbMath1237.49016OpenAlexW2063258590MaRDI QIDQ412678

Fu-Quan Xia, Xiao-bo Li

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.10.013

zbMATH Keywords

Levitin-Polyak well-posednessgeneralized mixed variational inequalityfixed-point probleminclusion problem

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31)

Related Items (13)

Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems ⋮ Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators ⋮ Levitin-Polyak well-posedness for strong bilevel vector equilibrium problems and applications to traffic network problems with equilibrium constraints ⋮ The Levitin-Polyak well-posedness by perturbations for systems of general variational inclusion and disclusion problems ⋮ Levitin-Polyak well-posedness by perturbations of split minimization problems ⋮ Levitin-Polyak well-posedness of an equilibrium-like problem in Banach spaces ⋮ Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces ⋮ The well-posedness for a system of generalized quasi-variational inclusion problems ⋮ Levitin–Polyak well-posedness of symmetric vector quasi-equilibrium problems ⋮ Characterizations of Levitin–Polyak well-posedness by perturbations for the split variational inequality problem ⋮ Unnamed Item ⋮ On Levitin–Polyak α-well-posedness of perturbed variational-hemivariational inequality ⋮ Levitin-Polyak well-posedness by perturbations for the split hemivariational inequality problem on Hadamard manifolds

Cites Work

• Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems
• Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems
• Well-posedness by perturbations of mixed variational inequalities in Banach spaces
• Levitin-Polyak well-posedness of variational inequalities
• Hadamard and Tyhonov well-posedness of a certain class of convex functions
• Extended well-posedness of optimization problems
• Well-posedness by perturbations of variational problems
• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
• Well-posedness criteria in optimization with application to the calculus of variations
• On the stability of the functional optimization problem
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