Variations on some finite-dimensional fixed-point theorems (Q384030)
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scientific article; zbMATH DE number 6232396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variations on some finite-dimensional fixed-point theorems |
scientific article; zbMATH DE number 6232396 |
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Variations on some finite-dimensional fixed-point theorems (English)
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25 November 2013
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In this paper, the author gives simple proofs of generalizations of some fixed point theorems in \(\mathbb R^n\) due to \textit{M. Pireddu} and \textit{F. Zanolin} [Adv. Nonlinear Stud. 5, No. 3, 411--440 (2005; Zbl 1101.47042)] and \textit{P. Zgliczyński} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 46, No. 7, 1039--1062 (2001; Zbl 1076.37505)]. The results may be useful in various problems related to ordinary differential equations.
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finite-dimensional space
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expansive-compressive mapping
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Poincaré-Miranda theorem
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fixed point
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