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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Bibliographic Details
Published in:	Optimization methods & software Vol. 19; no. 5; pp. 443 - 461
Main Author:	Gowda, M. Seetharama
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 01.10.2004
Subjects:	Coherent orientation Degree Generalized Jacobian H-differentiability Locally Lipschitzian functions Semismooth
ISSN:	1055-6788, 1029-4937
Online Access:	Get full text
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Summary:	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