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Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 214–225
DOI: https://doi.org/10.4213/mzm8938 (Mi mzm8938) 		 
A Characterization of Hyers–Lang Differentiability in Terms of a Tangent Cone

P. Vojčák

Mathematical Institute, Silesian University in Opava
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DOI: https://doi.org/10.4213/mzm8938
Abstract: 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.
Received: 11.01.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 214–223
DOI: https://doi.org/10.1134/S0001434611010275
Bibliographic databases:
Document Type: Article
UDC: 517.518.15
Language: Russian
Citation: P. Vojčák, “A Characterization of Hyers–Lang Differentiability in Terms of a Tangent Cone”, Mat. Zametki, 89:2 (2011), 214–225; Math. Notes, 89:2 (2011), 214–223
Citation in format AMSBIB
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