Strongly adequate functions on Banach spaces

2012/03/06 by Michel Volle, Volle, Michel, Constantin Zalinescu +1
Mathematics · #46G05 #46N10 #49J50 #FOS: Mathematics #Optimization and Control (math.OC) #math.OC #msc:46G05 #msc:46N10 #msc:49J50

paper · pdf · doi:10.48550/arxiv.1203.1145

arxiv created 2012/03/06 · arxiv updated 2012/03/07

Abstract

The notion of adequate function has been recently introduced in order to characterize the essentially strictly functions on a reflexive Banach space among the weakly lower semicontinuous ones. In this paper we reinforce this concept and show that a lower semicontinuous function is essentially firmly subdifferentiable if and only if it is strongly adequate.

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