Two approaches for solving mathematical programs with second-order cone complementarity constraints

DOI10.3934/jimo.2015.11.951zbMath1401.90229OpenAlexW2316847856MaRDI QIDQ2514699

Li-Ping Pang, Gui-Hua Lin, Xi-De Zhu

Publication date: 3 February 2015

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2015.11.951

zbMATH Keywords

convergencerelaxationsmoothing functionMPSOCCClarke-type stationarity

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)

First-Order Optimality Conditions for Mathematical Programs 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

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• Necessary optimality conditions for mathematical programs with second-order cone complementarity constraints
• Analysis of nonsmooth vector-valued functions associated with second-order cones.
• 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
• Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Smoothing method for mathematical programs with symmetric cone complementarity constraints
• Exact Penalization and Necessary Optimality Conditions for Generalized Bilevel Programming Problems
• The nonlinear bilevel programming problem:formulations,regularity and optimality conditions
• A Combined Smoothing and Regularization Method for Monotone Second-Order Cone Complementarity Problems
• Mathematical Programs with Equilibrium Constraints

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