Clarke ' S Gradients and Epsilon-subgradients in Banach Spaces

  • BY JAY S. TREIMAN
  • Published 2010
A new characterization of Clarke's normal cone to a closed set in a Banach space is given. The normal cone is characterized in terms of weak-star limits of epsilon normals. A similar characterization of Clarke's generalized gradients is also presented. Restrictions must be placed on the Banach spaces to make the formulas valid.