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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

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