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:
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