On the coderivative of the solution mapping to a second-order cone constrained parametric variational inequality

DOI10.1007/s10898-014-0181-3zbMath1341.90132OpenAlexW2013934288MaRDI QIDQ2018477

Jie Zhang, Yu-Xin Li, Li-wei Zhang

Publication date: 24 March 2015

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

Full work available at URL: https://doi.org/10.1007/s10898-014-0181-3

zbMATH Keywords

coderivativebilevel programmingsecond-order coneparametric variational inequalityLipschitz-like property

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Cites Work

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• 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
• Applications of second-order cone programming
• Generalized differential calculus for nonsmooth and set-valued mappings
• Metric regularity and quantitative stability in stochastic programs with probabilistic constraints.
• Foundations of bilevel programming
• Complementarity functions and numerical experiments on some smoothing Newton methods for second-order-cone complementarity problems
• Perturbation analysis of second-order cone programming problems
• An unconstrained smooth minimization reformulation of the second-order cone complementarity problem
• Smoothing Functions for Second-Order-Cone Complementarity Problems
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
• Generalized equations and their solutions, Part I: Basic theory
• Variational Analysis
• coderivatives of set-valued mappings: Calculus and applications
• On the Calmness of a Class of Multifunctions
• Stability of Locally Optimal Solutions
• Constraint Qualifications and KKT Conditions for Bilevel Programming Problems

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