Implicit function theorems for generalized equations
From MaRDI portal
Publication:1904661
DOI10.1007/BF01585930zbMath0843.49010MaRDI QIDQ1904661
Publication date: 7 January 1996
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
sensitivityvariational inequalityimplicit function theoremsgeneralized equationsdirectional differentiability
Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items
Continuous differentiability of the value function of semilinear parabolic infinite time horizon optimal control problems on \(L^2(\Omega)\) Under control constraints ⋮ Implicit function theorems for nondifferentiable mappings ⋮ Sensitivity analysis and the adjoint update strategy for an optimal control problem with mixed control-state constraints ⋮ State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations ⋮ Path-following for optimal control of stationary variational inequalities ⋮ Implicit functions: a metric theory ⋮ On the interplay between interior point approximation and parametric sensitivities in optimal control ⋮ Robinson's implicit function theorem and its extensions ⋮ Metric regularity and systems of generalized equations ⋮ Localization of generalized normal maps and stability of variational inequalities in reflexive Banach spaces ⋮ Lower semicontinuity of the solution map to a parametric generalized variational inequality in reflexive Banach spaces ⋮ Implicit multifunction theorems for the sensitivity analysis of variational conditions ⋮ Convexity and openness with linear rate ⋮ Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posed optimization problems
- Sensitivity analysis for nonsmooth generalized equations
- On concepts of directional differentiability
- Newton's Method for B-Differentiable Equations
- Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
- Strongly Regular Generalized Equations
- An Implicit-Function Theorem for a Class of Nonsmooth Functions
- Strong Derivatives and Inverse Mappings
- Sensitivity Analysis of Parametrized Programs via Generalized Equations
- Existence and Differentiability of Metric Projections in Hilbert Spaces
- An Inverse Mapping Theorem for Set-Valued Maps
- Implicit Functions, Lipschitz Maps, and Stability in Optimization
- Sensitivity Analysis of Solutions to Generalized Equations
- A Note on Inverse Function Theorems
