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• Generalized Gradient Equivariant Multivalued Maps, Approximation and Degree

  Publikacja

  • Z. Dzedzej
  • T. Gzella

  - Mathematics - Rok 2020

  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...

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