Optimality conditions and exact penalty for mathematical programs with switching constraints
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Publication:2046549
DOI10.1007/s10957-021-01879-yOpenAlexW3176432960MaRDI QIDQ2046549
Publication date: 18 August 2021
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.06148
error boundexact penalizationdirectional optimality conditiondirectional pseudo-normalitydirectional quasi-normalitymathematical program with disjunctive constraintsmathematical program with switching constraints
Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
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Cites Work
- Unnamed Item
- Relaxation methods for mixed-integer optimal control of partial differential equations
- Optimal control of a diffusion/reaction/switching system
- New results on constraint qualifications for nonlinear extremum problems and extensions
- On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
- A relaxed constant positive linear dependence constraint qualification and applications
- On relaxing the Mangasarian-Fromovitz constraint qualification
- Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications
- Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
- Nonconvex penalization of switching control of partial differential equations
- Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems
- Sufficient conditions for metric subregularity of constraint systems with applications to disjunctive and ortho-disjunctive programs
- Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming
- Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs
- Linearized M-stationarity conditions for general optimization problems
- Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications
- The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
- Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints
- On estimating the regular normal cone to constraint systems and stationarity conditions
- On relaxed constant rank regularity condition in mathematical programming
- Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints
- Directional derivative of the marginal function in nonlinear programming
- Optimization and nonsmooth analysis
- Variational Analysis
- On the Constant Positive Linear Dependence Condition and Its Application to SQP Methods
- New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints
- Two New Weak Constraint Qualifications and Applications
- On the linear independence constraint qualification in disjunctive programming
- New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences
- Directional Quasi-/Pseudo-Normality as Sufficient Conditions for Metric Subregularity
- On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs
- Optimal switching boundary control of a string to rest in finite time
- On calculating the normal cone to a finite union of convex polyhedra†
- Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences
- Relaxation schemes for mathematical programmes with switching constraints
- Mathematical Programs with Equilibrium Constraints