Geodesic
A Characterization of Hyers--Lang Differentiability in Terms of a Tangent Cone
Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 214-225

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We introduce the notion of Hyers–Lang tangent cone to a subset of a topological vector space, and give a characterization, for the case of locally convex topological vector spaces, of Hyers–Lang differentiability in terms of the Hyers–Lang tangent cone to the graph.
Keywords: Hyers–Lang differentiability, Hyers–Lang tangent cone, locally convex topological vector space, balanced neighborhood. 
@article{MZM_2011_89_2_a4,
     author = {P. Voj\v{c}\'ak},
     title = {A {Characterization} of {Hyers--Lang} {Differentiability} in {Terms} of a {Tangent} {Cone}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {214--225},
     publisher = {mathdoc},
     volume = {89},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a4/}
}
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P. Vojčák. A Characterization of Hyers--Lang Differentiability in Terms of a Tangent Cone. Matematičeskie zametki, Tome 89 (2011) no. 2, pp. 214-225. http://geodesic.mathdoc.fr/item/MZM_2011_89_2_a4/