In this article we formalized the Fréchet differentiation. It is defined as a generalization of the differentiation of a real-valued function of a single real variable to more general functions whose domain and range are subsets of normed spaces [14].
@article{bwmeta1.element.doi-10_2478_forma-2013-0011,
author = {Noboru Endou and Yasunari Shidama},
title = {Differentiation in Normed Spaces},
journal = {Formalized Mathematics},
volume = {21},
year = {2013},
pages = {95-102},
zbl = {1298.58009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_forma-2013-0011}
}
Noboru Endou; Yasunari Shidama. Differentiation in Normed Spaces. Formalized Mathematics, Tome 21 (2013) pp. 95-102. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_forma-2013-0011/
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