Lyusternik-Graves theorem and fixed points
-
Autores: Asen L. Dontchev
, H. Frankowska
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 521-534
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10490-2
- Enlaces
-
Resumen
For set-valued mappings and acting in metric spaces, we present local and global versions of the following general paradigm which has roots in the Lyusternik-Graves theorem and the contraction principle: if is metrically regular with constant and is Aubin (Lipschitz) continuous with constant such that , then the distance from to the set of fixed points of is bounded by times the infimum distance between and . From this result we derive known Lyusternik-Graves theorems, a recent theorem by Arutyunov, as well as some fixed point theorems.
¿Es nuevo? Regístrese
Ventajas de registrarse
