We prove constructively existence and uniqueness of a continuous fixed-point for a class of decreasing and pointwise nzonotonically continuous (nonlinear) operators in spaces of (vector-valued) functions, without resorting to complete continuity. As an application, we rediscuss and improve recent results for a class of perturbed nonlinear integral equations.
Approximating fixed-points of decreasing operators in spaces of continuous functions
SOMMARIVA, ALVISE;VIANELLO, MARCO
1998
Abstract
We prove constructively existence and uniqueness of a continuous fixed-point for a class of decreasing and pointwise nzonotonically continuous (nonlinear) operators in spaces of (vector-valued) functions, without resorting to complete continuity. As an application, we rediscuss and improve recent results for a class of perturbed nonlinear integral equations.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
NFAOPT_number1.pdf
accesso aperto
Tipologia:
Published (publisher's version)
Licenza:
Accesso gratuito
Dimensione
1.2 MB
Formato
Adobe PDF
|
1.2 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
