Geodesic
Asymptotic stability in the Schauder fixed point theorem
Studia Mathematica, Tome 131 (1998) no. 2, pp. 143-148 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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This note presents a theorem which gives an answer to a conjecture which appears in the book Matrix Norms and Their Applications by Belitskiĭ and Lyubich and concerns the global asymptotic stability in the Schauder fixed point theorem. This is followed by a theorem which states a necessary and sufficient condition for the iterates of a holomorphic function with a fixed point to converge pointwise to this point.
DOI : 10.4064/sm-131-2-143-148
Keywords: fixed point, asymptotic stability, spectral radius, compact map, holomorphic map, normal family, Whitney smooth extension theorem

Mau-Hsiang Shih 1

1 
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Mau-Hsiang Shih. Asymptotic stability in the Schauder fixed point theorem. Studia Mathematica, Tome 131 (1998) no. 2, pp. 143-148. doi: 10.4064/sm-131-2-143-148

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