Optimization Online


On the Maximal Extensions of Monotone Operators and Criteria for Maximality

A Eberhard(andy.eberhard***at***rmit.edu.au)
R Wenczel(robert.wenczel***at***rmit.edu.au)

Abstract: 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.

Keywords: Maximal Monotone, representative functions

Category 1: Convex and Nonsmooth Optimization (Generalized Convexity/Monoticity )

Category 2: Convex and Nonsmooth Optimization (Other )

Citation: Submitted to Journal of Convex Analysis

Download: [PDF]

Entry Submitted: 02/25/2014
Entry Accepted: 02/25/2014
Entry Last Modified: 02/25/2014

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Optimization Society