On 2-strong homomorphisms and 2-normed hypersets in hypervector spaces.
Raja, P., Vaezpour, S.M. (2008)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “Differentiation in Normed Spaces”
On 2-strong homomorphisms and 2-normed hypersets in hypervector spaces.
Partial Differentiation, Differentiation and Continuity on n -Dimensional Real Normed Linear Spaces
Takao Inoué, Adam Naumowicz, Noboru Endou, Yasunari Shidama (2011)
Formalized Mathematics
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In this article, we aim to prove the characterization of differentiation by means of partial differentiation for vector-valued functions on n-dimensional real normed linear spaces (refer to [15] and [16]).
Differentiation of Vector-Valued Functions on n -Dimensional Real Normed Linear Spaces
Takao Inoué, Noboru Endou, Yasunari Shidama (2010)
Formalized Mathematics
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In this article, we define and develop differentiation of vector-valued functions on n-dimensional real normed linear spaces (refer to [16] and [17]).
The Differentiable Functions from R into R n
Keiko Narita, Artur Korniłowicz, Yasunari Shidama (2012)
Formalized Mathematics
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In control engineering, differentiable partial functions from R into Rn play a very important role. In this article, we formalized basic properties of such functions.
Partial Differentiation of Vector-Valued Functions on n -Dimensional Real Normed Linear Spaces
Takao Inoué, Adam Naumowicz, Noboru Endou, Yasunari Shidama (2011)
Formalized Mathematics
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In this article, we define and develop partial differentiation of vector-valued functions on n-dimensional real normed linear spaces (refer to [19] and [20]).
On -norms and bounded -linear functionals in a Hilbert space.
Gozali, S.M., Gunawan, H., Neswan, O. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Fixed point theorems in normed linear spaces using a generalized -type condition
Priya Raphael, Shaini Pulickakunnel (2012)
Kragujevac Journal of Mathematics
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A note on the paper “Characterizations on 2-isometries”.
Abbassi, Hossein, Nourouzi, Kourosh (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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The C k Space
Katuhiko Kanazashi, Hiroyuki Okazaki, Yasunari Shidama (2013)
Formalized Mathematics
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In this article, we formalize continuous differentiability of realvalued functions on n-dimensional real normed linear spaces. Next, we give a definition of the Ck space according to [23].
Differential Equations on Functions from R into Real Banach Space
Keiko Narita, Noboru Endou, Yasunari Shidama (2013)
Formalized Mathematics
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In this article, we describe the differential equations on functions from R into real Banach space. The descriptions are based on the article [20]. As preliminary to the proof of these theorems, we proved some properties of differentiable functions on real normed space. For the proof we referred to descriptions and theorems in the article [21] and the article [32]. And applying the theorems of Riemann integral introduced in the article [22], we proved the ordinary differential equations...
Remarks on orthogonality preserving mappings in normed spaces and some stability problems.
Chmieliński, Jacek (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Some results on 2-inner product spaces.
Mazaheri, H., Kazemi, R. (2007)
Novi Sad Journal of Mathematics
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