First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints

DOI10.1007/s10898-015-0295-2zbMath1358.90152OpenAlexW2184753658MaRDI QIDQ746815

Jia Wu, Yi Zhang, Li-wei Zhang

Publication date: 20 October 2015

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-015-0295-2

zbMATH Keywords

necessary optimality conditionsconstraint qualificationsmathematical program with second-order cone complementarity constraintsS-, M-, C-, A-stationary points

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (6)

Second-order optimality conditions for mathematical program with semidefinite cone complementarity constraints and applications ⋮ Two relaxation methods for rank minimization problems ⋮ On the convergence properties of a smoothing approach for mathematical programs with symmetric cone complementarity constraints ⋮ Optimality conditions for vector optimization problem governed by the cone constrained generalized equations ⋮ A perturbation approach for an inverse quadratic programming problem over second-order cones ⋮ Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints

Cites Work

• Unnamed Item
• Unnamed Item
• First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
• 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
• Second-order cone programming
• Foundations of bilevel programming
• A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations
• Abadie-type constraint qualification for mathematical programs with equilibrium constraints
• Calmness of constraint systems with applications
• Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
• Smoothing method for mathematical programs with symmetric cone complementarity constraints
• First Order Conditions for General Nonlinear Optimization
• Lipschitzian stability of constraint systems and generalized equations
• Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
• Variational Analysis
• Mathematical Programs with Equilibrium Constraints

This page was built for publication: First order necessary optimality conditions for mathematical programs with second-order cone complementarity constraints