First order approximations to nonsmooth mappings with application to metric regularity
- 1 January 1994
- journal article
- research article
- Published by Taylor & Francis in Numerical Functional Analysis and Optimization
- Vol. 15 (5) , 599-620
- https://doi.org/10.1080/01630569408816583
Abstract
The generalized Jacobian is used to examine various first order approximations to nonsmooth mappings between Banach spaces. As an application, we survey and extend various recently derived sufficient conditions for the metric regularity of(possibly infinite) systems of nonsmooth inequalities.Keywords
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