Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method

DOI10.1007/s10957-018-01464-wzbMath1414.90335OpenAlexW2909617503WikidataQ128626050 ScholiaQ128626050MaRDI QIDQ2420796

Jin Zhang, Yang, Xinmin, Jin Chuan Zhou, Xi-De Zhu

Publication date: 7 June 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-01464-w

zbMATH Keywords

approximation methodsstationarity conditionsJordan productcalmness conditionsmathematical programs with second-order cone complementarity constraints

Mathematics Subject Classification ID

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)

Related Items (3)

Semidefinite relaxation method for polynomial optimization with second-order cone complementarity constraints ⋮ New constraint qualifications for mathematical programs with second-order cone complementarity constraints ⋮ Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Lipschitz and Hölder stability of optimization problems and generalized equations
• Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
• First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints
• Variational geometry of the complementarity set for second order cone
• 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
• Second-order cone programming
• Verifiable sufficient conditions for the error bound property of second-order cone complementarity problems
• A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations
• Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• First-Order Optimality Conditions for Mathematical Programs with Second-Order Cone Complementarity Constraints
• First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings
• Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
• Mathematical Programs with Equilibrium Constraints

This page was built for publication: Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method