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Zbl 1060.47056
Ran, André C. M.; Reurings, Martine C. B.
A fixed point theorem in partially ordered sets and some applications to matrix equations.
(English)
[J] Proc. Am. Math. Soc. 132, No. 5, 1435-1443 (2004). ISSN 0002-9939; ISSN 1088-6826/e

The authors prove an analogue of Banach's fixed point theorem in partially ordered sets, and discuss several applications to linear and nonlinear matrix equations.
[Ulrich Kosel (Freiberg)]
MSC 2000:
*47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
15A24 Matrix equations
54H25 Fixed-point theorems in topological spaces

Keywords: fixed points; matrix equations; partially ordered sets

Cited in: Zbl 1251.54057 Zbl 1239.54025 Zbl 1204.54037 Zbl 1192.54018 Zbl 1184.54038 Zbl 1176.54028 Zbl 1171.28002 Zbl 1142.47033 Zbl 1086.47026 Zbl 1095.47013

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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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