Approximation par des morphismes de chaînes et points fixes des applications multivoques
Serdica Mathematical Journal, Tome 38 (2012) no. 4, pp. 523-538
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
In this paper, we consider u.s.c. multivalued maps with compact point images. We develop a notion of approximation of such maps by chain mappings between the singular chain complexes of the spaces, and use this notion to prove fixed point theorems.
Mots-clés :
Chain Morphism, Fixed Point, Weighted Map
@article{SMJ2_2012_38_4_a0,
author = {Cauty, Robert},
title = {Approximation par des morphismes de cha{\^\i}nes et points fixes des applications multivoques},
journal = {Serdica Mathematical Journal},
pages = {523--538},
year = {2012},
volume = {38},
number = {4},
language = {fr},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_4_a0/}
}
Cauty, Robert. Approximation par des morphismes de chaînes et points fixes des applications multivoques. Serdica Mathematical Journal, Tome 38 (2012) no. 4, pp. 523-538. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_4_a0/