Solution behavior for parametric implicit complementarity problems

DOI10.1007/BF01580894zbMath0762.90075MaRDI QIDQ1207313

Jerzy Kyparisis, Chi-Ming Ip

Publication date: 1 April 1993

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

Fréchet-differentiableLipschitz-continuous\(B\)- differentiableparametric implicit complementarity problem

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Fréchet and Gateaux differentiability in optimization (49J50) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (2)

On optimization of systems governed by implicit complementarity problems^* ⋮ A Newton method for a class of quasi-variational inequalities

Cites Work

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• Solution differentiability for variational inequalities
• Two characterization theorems in complementarity theory
• Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets
• Newton's Method for B-Differentiable Equations
• Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
• Strongly Regular Generalized Equations
• The Generalized Quasi-Variational Inequality Problem
• An Implicit-Function Theorem for a Class of Nonsmooth Functions
• Uniqueness and differentiability of solutions of parametric nonlinear complementarity problems

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