Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints

DOI10.22034/cmde.2020.30733.1459zbMath1490.90232OpenAlexW3013941182MaRDI QIDQ5025452

Hadis Mokhtavayi, Aghileh Heidari, Nader Kanzi

Publication date: 2 February 2022

Full work available at URL: https://cmde.tabrizu.ac.ir/article_10352_0b6a2959c2b43ba7461b1c2201c089da.pdf

zbMATH Keywords

nonsmooth optimizationconstraint qualificationvanishing constraintsstationary conditions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

• Unnamed Item
• Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
• Exact penalty results for mathematical programs with vanishing constraints
• Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints
• Characterization of nonsmooth quasiconvex and pseudoconvex functions
• Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications
• First- and second-order optimality conditions for mathematical programs with vanishing constraints.
• On sufficiency of the Kuhn-Tucker conditions
• Constraint qualifications and stationary conditions for mathematical programming with non-differentiable vanishing constraints
• Abadie constraint qualifications for convex constraint systems and applications to calmness property
• On calmness of the argmin mapping in parametric optimization problems
• Stationary conditions for mathematical programs with vanishing constraints using weak constraint qualifications
• Optimality criteria and duality in multiobjective programming involving nonsmooth invex functions
• Calmness of constraint systems with applications
• Invex functions and constrained local minima
• Variational Analysis
• On the Calmness of a Class of Multifunctions

This page was built for publication: Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints