On stability of M-stationary points in mpccs

DOI10.1007/s11228-014-0278-3zbMath1296.90121OpenAlexW2073455561MaRDI QIDQ741361

Miroslav Pištěk, Michal Červinka, Jiří V. Outrata

Publication date: 11 September 2014

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

Full work available at URL: https://doi.org/10.1007/s11228-014-0278-3

zbMATH Keywords

sensitivity analysisisolated calmnessM-stationarityaubin propertyparameterized mathematical programs with complementarity constraints

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (8)

Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets ⋮ Lipschitz and Hölder stability of optimization problems and generalized equations ⋮ Strongly Stable Stationary Points for a Class of Generalized Equations ⋮ Strongly stable C-stationary points for mathematical programs with complementarity constraints ⋮ Optimality conditions for nonsmooth mathematical programs with equilibrium constraints, using convexificators ⋮ A note on stability of stationary points in mathematical programs with generalized complementarity constraints ⋮ MPCC: strong stability of \(m\)-stationary points ⋮ Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences

Uses Software

• MacMPEC

Cites Work

• Unnamed Item
• On metric and calmness qualification conditions in subdifferential calculus
• A note on sensitivity of value functions of mathematical programs with complementarity constraints
• Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints
• Sensitivity Analysis of the Value Function for Optimization Problems with Variational Inequality Constraints
• Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
• Implicit Functions and Solution Mappings
• On Stability of the Feasible Set of a Mathematical Problem with Complementarity Problems
• Variational Analysis
• Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
• Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
• Solving mathematical programs with complementarity constraints as nonlinear programs
• Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
• On the Calmness of a Class of Multifunctions
• Sensitivity Analysis for Two-Level Value Functions with Applications to Bilevel Programming
• Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
• On calculating the normal cone to a finite union of convex polyhedra†

This page was built for publication: On stability of M-stationary points in mpccs