Strongly adequate functions on Banach spaces
Optimization and Control
2012-03-07 v1
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.
Cite
@article{arxiv.1203.1145,
title = {Strongly adequate functions on Banach spaces},
author = {Michel Volle and Constantin Zalinescu},
journal= {arXiv preprint arXiv:1203.1145},
year = {2012}
}