Optimal control problems governed by a variational inequality via nonlinear Lagrangian methods

DOI10.1080/02331930500530807zbMath1091.49004OpenAlexW2080291696MaRDI QIDQ5475298

Xiao Qi Yang, Kok Lay Teo, Yu Ying Zhou

Publication date: 16 June 2006

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930500530807

zbMATH Keywords

optimal controlvariational inequalityzero duality gapnonlinear Lagrangian function

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence theories for problems in abstract spaces (49J27)

Related Items (3)

Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality ⋮ An optimal control problem governed by a Kirchhoff-type variational inequality ⋮ An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆

Cites Work

• Optimal control of the obstacle in a quasilinear elliptic variational inequality
• An exact penalty function algorithm for optimal control problems with control and terminal equality constraints. I
• Variational inequalities with nonmonotone operators
• Use of augmented Lagrangian methods for the optimal control of obstacle problems
• An obstacle control problem with a source term
• A Nonlinear Lagrangian Approach to Constrained Optimization Problems
• State Constrained Control Problems Governed by Variational Inequalities
• Variational Analysis
• Monotonicity methods for nonlinear evolution equations
• Optimal Control in Some Variational Inequalities
• The Zero Duality Gap Property and Lower Semicontinuity of the Perturbation Function

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