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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Gozali, S.M., Gunawan, H., Neswan, O. (2010)
Annals of Functional Analysis (AFA) [electronic only]
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Raja, P., Vaezpour, S.M. (2008)
The Journal of Nonlinear Sciences and its Applications
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Mazaheri, H., Kazemi, R. (2007)
Novi Sad Journal of Mathematics
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Chmieliński, Jacek (2007)
Banach Journal of Mathematical Analysis [electronic only]
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Noboru Endou, Yasunari Shidama (2013)
Formalized Mathematics
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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].
P. Riyas, K. T. Ravindran (2011)
Matematički Vesnik
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Priya Raphael, Shaini Pulickakunnel (2012)
Kragujevac Journal of Mathematics
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Keiichi Miyajima, Artur Korniłowicz, Yasunari Shidama (2012)
Formalized Mathematics
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In this article, we described the contracting mapping on normed linear space. Furthermore, we applied that mapping to ordinary differential equations on real normed space. Our method is based on the one presented by Schwarz [29].
Ling, Joseph M. (2007)
Beiträge zur Algebra und Geometrie
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Mehmet Açikgöz (2009)
Matematički Vesnik
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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]).
Dariusz Cichoń (2014)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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A new proof of the Ficken criterion is given together with a comment concerning the known proofs and related results