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arXiv · 1612.02500

Quasidense monotone multifunctions

Stephen Simons
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Abstract

In this paper, we discuss quasidense multifunctions from a Banach space into its dual, and use the two sum theorems proved in a previous paper to give various characterizations of quasidensity. We investigate the Fitzpatrick extension of such a multifunction. We prove that, for closed monotone multifunctions, quasidensity implies type (FPV) and strong maximality, and that quasidensity is equivalent to type (FP). This version differs from Version 3 in that a few minor errors have been corrected.

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Stephen Simons. 2016-12-08. Quasidense monotone multifunctions. https://arxiv.org/abs/1612.02500

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