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On Nonsmooth Global Implicit Function Theorems for Locally Lipschitz Functions from Banach Spaces to Euclidean Spaces.
- Source :
-
Abstract & Applied Analysis . 7/28/2022, p1-19. 19p. - Publication Year :
- 2022
-
Abstract
- In this paper, we establish a generalization of the Galewski-Rădulescu nonsmooth global implicit function theorem to locally Lipschitz functions defined from infinite dimensional Banach spaces into Euclidean spaces. Moreover, we derive, under suitable conditions, a series of results on the existence, uniqueness, and possible continuity of global implicit functions that parametrize the set of zeros of locally Lipschitz functions. Our methods rely on a nonsmooth critical point theory based on a generalization of the Ekeland variational principle. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BANACH spaces
*CRITICAL point theory
*IMPLICIT functions
*VARIATIONAL principles
Subjects
Details
- Language :
- English
- ISSN :
- 10853375
- Database :
- Academic Search Index
- Journal :
- Abstract & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 158238977
- Full Text :
- https://doi.org/10.1155/2022/1021461