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A fixed point theorem in partially ordered sets and some applications to matrix equations |
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| Authors: | André C. M. Ran Martine C. B. Reurings |
| Affiliation: | Afdeling Wiskunde, Faculteit der Exacte Wetenschappen. Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands ; Afdeling Wiskunde, Faculteit der Exacte Wetenschappen. Vrije Universiteit Amsterdam, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands |
| 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. |
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