Abstract
We derive necessary and sufficient conditions for the existence of a least and a greatest fixed point of an operator which satisfies the hypothesis of Schauder's theorem. The so obtained results are applied to prove existence of extremal solutions for some initial and boundary value problems.
Citation
J. Ángel Cid. "On extremal fixed points in Schauder's theorem with applications to differential equations." Bull. Belg. Math. Soc. Simon Stevin 11 (1) 15 - 20, March 2004. https://doi.org/10.36045/bbms/1080056156
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