Stability of solutions to convex problems of optimization

zbMath0697.49024MaRDI QIDQ911031

Kazimierz Malanowski

Publication date: 1987

Published in: Lecture Notes in Control and Information Sciences (Search for Journal in Brave)

zbMATH Keywords

Lagrange multipliersGlobal stabilityconvex optimization problemsDifferential stabilityone-sided directional differentiability

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Sensitivity, stability, parametric optimization (90C31) Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming (90-02) Optimality conditions for problems involving ordinary differential equations (49K15) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

Related Items (9)

Finding normal solutions in piecewise linear programming ⋮ Stability and sensitivity analysis in multiobjective nonlinear programming ⋮ Lipschitzian stability of constraint systems and generalized equations ⋮ Strictly and roughly convexlike functions ⋮ Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space ⋮ Second-order conditions and constraint qualifications in stability and sensitivity analysis of solutions to optimization problems in Hilbert spaces ⋮ On the structure of the set of active sets in constrained linear quadratic regulation ⋮ Sensitivity analysis of optimization problems in Hilbert space with application to optimal control ⋮ Lipschitz stability of solutions to parametric optimal control problems for parabolic equations

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