Subdifferentiability of Typical Continuous Functions

Borwein, Jonathan M. and Wang, Shawn Xianfu (2001) Subdifferentiability of Typical Continuous Functions. In: Proceedings of CMS Special Session on Nonlinear Analysis and Its Applications, Nonlinear Analysis Forum.

Download (209Kb) | Preview
    Download (210Kb) | Preview


      We prove a ``typical" subdifferentiability principle and apply it to a variety of complete metric spaces of continuous functions on separable Banach spaces; so as to obtain existence of functions with maximal subdifferentials when ordered by inclusion. The relationship between continuous functions with maximal subdifferentials and nowhere monotone functions is discussed.

      Item Type: Conference or Workshop Item (Paper)
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: Subdifferentials, Baire Category, typical subdifferentiability, nowhere monotone continuous function
      Subjects: 49-xx Calculus of variations and optimal control; optimization > 49Jxx Existence theories
      26-xx Real functions > 26Axx Functions of one variable
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 28 Nov 2003
      Last Modified: 01 Mar 2015 17:26

      Actions (login required)

      View Item