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Si introduce la nozione di «struttura quasi-normale relativa» per i sottoinsiemi chiusi (non necessariamente convessi) di uno spazio normato. Si prova quindi che ogni mappa di Kannan (generalizzata) che muta in sè un sottoinsieme dotato di tale struttura e debolmente compatto di uno spazio normato ha un punto fisso. Analogo risultato vale per i sottoinsiemi dotati di tale struttura e debolmente* chiusi di uno spazio duale; in particolare ogni mappa di Kannan che muta in sè o , , (o una sua bolla...
In this paper we are concerned with applications , mapping into itself a closed convex subset of a normed space , with the property: (, not necessarily constants, , , ). We prove that a fixed point of exists in under the following assumptions: 1) is uniformly convex and in there exists a point with bounded orbit; 2) is a Banach space, is weakly compact, is continuous and . Thereafter, if is strictly convex, we prove that the set of all fixed points of in is closed...
A general method is given for recovering a function , , knowing only an approximation of its Fourier transform.
In this paper a very general method is given in order to reconstruct a periodic function knowing only an approximation of its Fourier coefficients.
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