Inverse and implicit function theorems for H-differentiable and semismooth functions

In this article, we prove inverse and implicit function theorems for H-differentiable functions, thereby giving a unified treatment of such theorems for C 1 -functions, PC 1 -functions, and for locally Lipschitzian functions. We also derive inverse and implicit function theorems for semismooth funct...

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Vydáno v:Optimization methods & software Ročník 19; číslo 5; s. 443 - 461
Hlavní autor: Gowda, M. Seetharama
Médium: Journal Article
Jazyk:angličtina
Vydáno: Taylor & Francis 01.10.2004
Témata:
Coherent orientation
Degree
Generalized Jacobian
H-differentiability
Locally Lipschitzian functions
Semismooth
ISSN:1055-6788, 1029-4937
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Shrnutí:In this article, we prove inverse and implicit function theorems for H-differentiable functions, thereby giving a unified treatment of such theorems for C 1 -functions, PC 1 -functions, and for locally Lipschitzian functions. We also derive inverse and implicit function theorems for semismooth functions.
ISSN:1055-6788
1029-4937
DOI:10.1080/10556780410001697668