MPCC: strong stability of \(m\)-stationary points

DOI10.1007/s11228-021-00592-2zbMath1479.90200OpenAlexW3166579098MaRDI QIDQ2047256

Daniel Hernández Escobar, Harald Günzel, Jan-Joachim Rückmann

Publication date: 19 August 2021

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-021-00592-2

zbMATH Keywords

strong stabilitymathematical programs with complementarity constraintsM-stationarity: MPCC-LICQ

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (1)

Strongly Stable Stationary Points for a Class of Generalized Equations

Cites Work

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• Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
• Topological aspects of nonsmooth optimization.
• On stability of M-stationary points in mpccs
• On inertia and Schur complement in optimization
• A smoothing method for mathematical programs with equilibrium constraints
• A note on sensitivity of value functions of mathematical programs with complementarity constraints
• Nonlinear optimization in finite dimensions. Morse theory, Chebyshev approximation, transversality, flows, parametric aspects
• Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints
• On existence and uniqueness of stationary points in semi-infinite optimization
• Characterization of strong stability for C-stationary points in MPCC
• On M-stationary points for mathematical programs with equilibrium constraints
• Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
• A New Regularization Method for Mathematical Programs with Complementarity Constraints with Strong Convergence Properties
• Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-conditions, New Constraint Qualifications, and Improved Exact Penalty Results
• An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints
• On Stability of the Feasible Set of a Mathematical Problem with Complementarity Problems
• Strongly Regular Generalized Equations
• Differential Topology
• Strong stability in nonlinear programming revisited
• MPCC: on necessary conditions for the strong stability of C-stationary points
• Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
• MPCC: strongly stable C-stationary points when the number of active constraints is n + 1
• MPCC: Critical Point Theory
• Interior Methods for Mathematical Programs with Complementarity Constraints
• Mathematical Programs with Equilibrium Constraints

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