| Date: |
1997 |
| Abstract: |
This paper is a contribution to the sensitivity analysis of piecewise smooth equations. A piecewise smooth function is a Lipschitzian homeomorphism near a given point if and only if it is coherently oriented and has an invertible B-derivative at this point. We emphasise the role of functions of the type f = g ° h where g is piecewise smooth and h is smooth and present verifiable conditions which ensure that the function f = g ° h is a Lipschitzian homeomorphism near a given point for every h sufficiently close to h with respect to the C^1-topology. . |
| Rights: |
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| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Sensitivity ;
Composite ;
Nonsmooth ;
Piecewise affine ;
Piecewise smooth ;
Implicit function ;
Lipschitzian homeomorphism ;
Coherent orientation ;
Complementarity problem |
| Published in: |
Mathematical Programming, vol. 76 n. 3 (1997) p. 593-612, ISSN 0025-5610 |
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