Properties of restricted NCP functions for nonlinear complementarity problems

DOI10.1023/A:1022684215427zbMath0913.90253OpenAlexW48032855MaRDI QIDQ1273919

K. Appert

Publication date: 6 January 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022684215427

zbMATH Keywords

stationary pointmerit functionconstrained minimizationnonlinear complementaritybounded level setsrestricted NCP functions

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (8)

A smoothing projected HS method for solving stochastic tensor complementarity problem ⋮ A Finsler geometrical programming approach to the nonlinear complementarity problem of traffic equilibrium ⋮ CVaR-constrained stochastic programming reformulation for stochastic nonlinear complementarity problems ⋮ Unnamed Item ⋮ Properties and construction of NCP functions ⋮ On generalized convexity of nonlinear complementarity functions ⋮ New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC ⋮ Convergence analysis of a trust-region multidimensional filter method for nonlinear complementarity problems

Cites Work

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• Stationary points of bound constrained minimization reformulations of complementarity problems
• New NCP-functions and their properties
• On the resolution of monotone complementarity problems
• On stationary points of the implicit Lagrangian for nonlinear complementarity problems
• Nonlinear complementarity as unconstrained optimization
• Growth behavior of a class of merit functions for the nonlinear complementarity problem
• Convergence of Trust Region Algorithms for Optimization with Bounds when Strict Complementarity Does Not Hold
• Global Methods for Nonlinear Complementarity Problems

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