First-Order Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints
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Publication:3179271
DOI10.1137/16M1055554zbMath1387.90245OpenAlexW2562976915MaRDI QIDQ3179271
Publication date: 21 December 2016
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1055554
necessary optimality conditionsconstraint qualificationsmathematical program with second-order cone complementarity constraintsC-stationary conditionsM-stationary conditionsS-stationary conditions
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
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- Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
- First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
- Exact formulas for the proximal/regular/limiting normal cone of the second-order cone complementarity set
- Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
- Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints
- On the coderivative of the projection operator onto the second-order cone
- Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
- Robust optimization-methodology and applications
- A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations
- Two approaches for solving mathematical programs with second-order cone complementarity constraints
- Semismoothness of solutions to generalized equations and the Moreau-Yosida regularization
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Smoothing method for mathematical programs with symmetric cone complementarity constraints
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- On the Guignard constraint qualification for mathematical programs with equilibrium constraints
- Optimization and nonsmooth analysis
- Some continuity properties of polyhedral multifunctions
- Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
- Variational Analysis
- Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Optimality Conditions for Optimization Problems with Complementarity Constraints
- A perturbation approach for an inverse quadratic programming problem over second-order cones
- Mathematical Programs with Equilibrium Constraints
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