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Currently displaying 1 – 13 of 13

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Kannan maps in normed spaces

Delfina RouxClemente Zanco — 1978

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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 l 1 o L p , 1 < p , (o una sua bolla...

Alcune generalizzazioni del Teorema di Browder-Göhde-Kirk

Delfina RouxPaolo Soardi — 1972

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this paper we are concerned with applications f , mapping into itself a closed convex subset K of a normed space X , with the property: f ( x ) - f ( y ) a { x - f ( x ) + y - f ( y ) } + b x - y ( a , b not necessarily constants, a 0 , b 0 , 2 a + b 1 ). We prove that a fixed point of f exists in K under the following assumptions: 1) is uniformly convex and in there exists a point with bounded orbit; 2) X is a Banach space, K is weakly compact, f is continuous and sup x , y K b ( x , y ) < 1 . Thereafter, if X is strictly convex, we prove that the set of all fixed points of f in K is closed...

Inverse Fourier transform

Leonede De MicheleMarina Di NataleDelfina Roux — 1990

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper a very general method is given in order to reconstruct a periodic function f knowing only an approximation of its Fourier coefficients.

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