Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10114-005-0769-0.pdf
Reference8 articles.
1. Ran, A. C. M., Reurings, M. C. B.: A .xed point theorem in partially ordered sets and some applications to matrix equations. Proc. Amer. Math. Soc., 132, 1435–1443 (2004)
2. Nieto, J. J., Rodríguez-López, R.: Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations. Order, 22, 223–239 (2005)
3. Tarski, A.: A lattice-theoretical fixpoint theorem and its applications. Pacific J. Math., 5, 285–309 (1955)
4. Cousot, P., Cousot, R.: Constructive versions of Tarski’s fixed point theorems. Pacific J. Math., 82, 43–57 (1979)
5. Zeidler, E.: Nonlinear functional analysis and its applications, Vol I: Fixed-Point Theorems, Springer-Verlag, New York, 1986
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