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 , Short URL: https://optimization-online.org/?p=12767

    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 and pre-maximality issues.

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    Submitted to Journal of Convex Analysis

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