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Abstract
Consider the Euclidean space Rn with the orthogonal action of a compact Lie group G. We prove that a locally Lipschitz G-invariant mapping f from Rn to R can be uniformly approximated by G-invariant smooth mappings g in such a way that the gradient of g is a graph approximation of Clarke’s generalized gradient of f . This result enables a proper development of equivariant gradient degree theory for a class of set-valued gradient mappings
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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Mathematics
no. 8,
ISSN: 2227-7390 - Language:
- English
- Publication year:
- 2020
- Bibliographic description:
- Dzedzej Z., Gzella T.: Generalized Gradient Equivariant Multivalued Maps, Approximation and Degree// Mathematics -Vol. 8,iss. 8 (2020), s.1262-
- DOI:
- Digital Object Identifier (open in new tab) 10.3390/math8081262
- Verified by:
- Gdańsk University of Technology
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