representative functions

On the Maximal Extensions of Monotone Operators and Criteria for Maximality

  • Andrew C. Eberhard
  • R Wenczel
    • Categories Convex and Nonsmooth Optimization, Generalized Convexity/Monoticity Tags ,

    Within a nonzero, real Banach space we study the problem of characterising a maximal extension of a monotone operator in terms of minimality properties of representative functions that are bounded by the Penot and Fitzpatrick functions. We single out a property of this space of representative functions that enable a very compact treatment of maximality … Read more