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Inverse and Implicit Function Theorems for Nonsmooth Maps in Banach Spaces

Inverse and implicit function theorems for nonsmooth maps in Banach spaces
descriptionPublicationkeyboard_double_arrow_right Article 01 May 1997 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 209, pages 202-220 (issn: 0022-247X, Copyright policy )
Authors: Páles, Zsolt;

doi: 10.1006/jmaa.1997.5358

Inverse and Implicit Function Theorems for Nonsmooth Maps in Banach Spaces

Abstract

The author generalizes the classical inverse and implicit function theorems, the implicit function theorems of Lyusternik and Graves, and the results of Clarke and Pourciau to the situation when the given function is not smooth, but has a convex strict prederivative whose measure of noncompactness is smaller than its measure of surjectivity.

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Keywords

inverse function theorems, Applied Mathematics, implicit functions theorems, surjectivity result, Analysis, Implicit function theorems; global Newton methods on manifolds

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 10%
Average
hybrid