A fixed point theorem based on Miranda.

Schäfer, Uwe

Displaying similar documents to “A fixed point theorem based on Miranda.”

A reconsideration of Hua's inequality.

Takagi, Hiroyuki, Miura, Takeshi, Kanzo, Tadashi, Takahasi, Sin-Ei (2005)

Journal of Inequalities and Applications [electronic only]

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Every nilpotent operator fails to determine the complete norm topology.

Oudghiri, Mourad, Zohry, Mohamed (2005)

Portugaliae Mathematica. Nova Série

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Error inequalities for a corrected interpolating polynomial.

Ujević, Nenad (2004)

The New York Journal of Mathematics [electronic only]

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Curves with finite turn

Jakub Duda (2008)

Czechoslovak Mathematical Journal

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In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence...