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Minimal Convex Uscos and Monotone Operators on Small Sets by Borwein, Jonathan; Fitzpatrick, Simon; Kenderov, Petàr is a Mathematics article available to read on EtoBox.

What is Minimal Convex Uscos and Monotone Operators on Small Sets about?

Abstract We generalize the generic single-valuedness and continuity of monotone operators defined on open subsets of Banach spaces of class (S) and Asplund spaces to monotone operators defined on convex subsets of such spaces which may even fail to have non-support points. This yields differentiability theorems for convex Lipschitzian functions on such sets. From a result about minimal convex uscos which are densely single-valued we obtain generic differentiability results for certain Lipschitzian realvalued functions.

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Author

Borwein, Jonathan; Fitzpatrick, Simon; Kenderov, Petàr

Publisher

Canadian Mathematical Society; Test accounts (ISSN 0008-414X)

Published

1991

Language

EN

Field

Mathematics (Physical Sciences)