A new proof of Robinson's homeomorphism theorem for pl-normal maps
From MaRDI portal
Publication:1208290
DOI10.1016/0024-3795(93)90344-NzbMath0770.90069MaRDI QIDQ1208290
Publication date: 16 May 1993
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
variational inequalitiesequilibrium problemspiecewise linear functionspolyhedral convex setspl-normal mapsRobinson's homeomorphism theorem
Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (7)
Generalizations of \(\mathbf P_ 0\)- and \(\mathbf P\)-properties; extended vertical and horizontal linear complementarity problems ⋮ Error bounds in mathematical programming ⋮ On branching numbers of normal manifolds ⋮ Extended Newton-type method and its convergence analysis for nonsmooth generalized equations ⋮ On variational inequalities over polyhedral sets ⋮ Extended Newton-type method for nonsmooth generalized equation under \((n, \alpha)\)-point-based approximation ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Piecewise affine bijections of \(\mathbb R^n\), and the equation \(Sx^ +- Tx^ -=y\)
- Relationships of properties of piecewise affine maps over ordered fields
- Newton's method for the nonlinear complementarity problem: a B- differentiable equation approach
- On the number of solutions to the complementarity problem and spanning properties of complementary cones
- Covering spaces, fibre spaces, and local homeomorphisms
- Newton's Method for B-Differentiable Equations
- Natural Operations on Differential Forms
- On the Identification of Active Constraints
- On the Relationship Between Conditions that Insure a PL Mapping is a Homeomorphism
- On Piecewise Linear Functions and Piecewise Linear Equations
- An Implicit-Function Theorem for a Class of Nonsmooth Functions
- On Piecewise Affine Mappings in $R^n $
- Global Convergence of Damped Newton's Method for Nonsmooth Equations via the Path Search
- Local Mapping Relations and Global Implicit Function Theorems
- Piecewise-Linear Theory of Nonlinear Networks
- A Partition Theorem for Euclidean n-Space
This page was built for publication: A new proof of Robinson's homeomorphism theorem for pl-normal maps
