Geodesic
Asymptotic stability in the Schauder fixed point theorem
Studia Mathematica, Tome 131 (1998) no. 2, pp. 143-148

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_sm_131_2_143_148,
     author = {Mau-Hsiang Shih},
     title = {Asymptotic stability in the {Schauder} fixed point theorem},
     journal = {Studia Mathematica},
     pages = {143--148},
     publisher = {mathdoc},
     volume = {131},
     number = {2},
     year = {1998},
     doi = {10.4064/sm-131-2-143-148},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-143-148/}
}
TY  - JOUR
AU  - Mau-Hsiang Shih
TI  - Asymptotic stability in the Schauder fixed point theorem
JO  - Studia Mathematica
PY  - 1998
SP  - 143
EP  - 148
VL  - 131
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-143-148/
DO  - 10.4064/sm-131-2-143-148
LA  - en
ID  - 10_4064_sm_131_2_143_148
ER  - 
%0 Journal Article
%A Mau-Hsiang Shih
%T Asymptotic stability in the Schauder fixed point theorem
%J Studia Mathematica
%D 1998
%P 143-148
%V 131
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-131-2-143-148/
%R 10.4064/sm-131-2-143-148
%G en
%F 10_4064_sm_131_2_143_148
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

Cité par Sources :