On optimization of systems governed by implicit complementarity problems*

DOI10.1080/01630569408816597zbMath0813.73048OpenAlexW1969833113MaRDI QIDQ4323505

Michal Kočvara, Jiří V. Outrata

Publication date: 22 February 1995

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816597

zbMATH Keywords

nonsmooth analysisnondifferentiable optimizationunique solutionbundle methodnonsmooth Newton methodelastic obstaclepackaging problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Optimization problems in solid mechanics (74P99) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (12)

Modified relaxation two-sweep modulus-based matrix splitting iteration method for solving a class of implicit complementarity problems ⋮ A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems ⋮ Shape Derivatives for the Penalty Formulation of Elastic Contact Problems with Tresca Friction ⋮ A globally convergent sequential linear programming algorithm for mathematical programs with linear complementarity constraints ⋮ On structural safety assessment by load factor maximization in piecewise linear plasticity ⋮ EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DISCRETIZED CONTACT ELASTO-PLASTIC PROBLEM WITH ISOTROPIC HARDENING ⋮ Generalized limit analysis in poroplasticity by mathematical programming ⋮ EXISTENCE AND UNIQUENESS OF SOLUTIONS OF THE DISCRETIZED CONTACT ELASTO-PLASTIC PROBLEM WITH ISOTROPIC HARDENING ⋮ Shape optimization of elasto-plastic structures and continua ⋮ Optimal prestress of cracked unilateral structures: Finite element analysis of an optimal control problem for variational inequalities. ⋮ Shape derivatives for an augmented Lagrangian formulation of elastic contact problems ⋮ A superlinearly convergent SSLE algorithm for optimization problems with linear complementarity constraints

Cites Work

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• Solution differentiability for variational inequalities
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• On the convergence of a basic iterative method for the implicit complementarity problem
• Solution behavior for parametric implicit complementarity problems
• Newton's Method for B-Differentiable Equations
• Optimization and nonsmooth analysis
• Strongly Regular Generalized Equations
• An Implicit-Function Theorem for a Class of Nonsmooth Functions
• A Version of the Bundle Idea for Minimizing a Nonsmooth Function: Conceptual Idea, Convergence Analysis, Numerical Results
• On Generalized Gradients in Optimization Problems with Set-Valued Constraints

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