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A fixed point theorem in partially ordered sets and some applications to matrix equations
Author(s):
André
C. M.
Ran;
Martine
C. B.
Reurings
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1435-1443.
MSC (2000):
Primary 47H10;
Secondary 15A24, 54H25
Posted:
September 18, 2003
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Additional information
Abstract:
An analogue of Banach's fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix equations are discussed.
References:
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An extension and simple proof of a constrained lattice fixed point theorem,
Algebra Universalis, 9:131-132, 1979. Erratum, ibid, 12:134, 1981. MR 80b:06009; MR 82c:06016 - 3.
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Additional Information:
André
C. M.
Ran
Affiliation:
Afdeling Wiskunde, Faculteit der Exacte Wetenschappen. Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands
Email:
ran@cs.vu.nl
Martine
C. B.
Reurings
Affiliation:
Afdeling Wiskunde, Faculteit der Exacte Wetenschappen. Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands
Email:
mcreurin@cs.vu.nl
DOI:
10.1090/S0002-9939-03-07220-4
PII:
S 0002-9939(03)07220-4
Received by editor(s):
June 19, 2002
Received by editor(s) in revised form:
January 8, 2003
Posted:
September 18, 2003
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2003,
American Mathematical Society
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