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.
CITATION STYLE
Ran, A. C. M., & Reurings, M. C. B. (2003). A fixed point theorem in partially ordered sets and some applications to matrix equations. Proceedings of the American Mathematical Society, 132(5), 1435–1443. https://doi.org/10.1090/s0002-9939-03-07220-4
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