Geodesic
Minimal Convex Uscos and Monotone Operators on Small Sets
Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 461-476

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1991-028-5
Mots-clés : 46G05, 7H07, 54C50, 54C65 
Borwein, Jonathan; Fitzpatrick, Simon; Kenderov, Petàr. Minimal Convex Uscos and Monotone Operators on Small Sets. Canadian journal of mathematics, Tome 43 (1991) no. 3, pp. 461-476. doi: 10.4153/CJM-1991-028-5
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