Autor: Domínguez Benavides, T. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A modulus for property (β) of Rolewicz
Autorzy:: Ayerbe, J.
Domínguez Benavides, T.
Cutillas, S.
Powiązania:: https://bibliotekanauki.pl/articles/966710.pdf
Data publikacji:: 1997
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: property (β)
measures of noncompactness
normal structure
$l^p$-spaces
uniform convexity
Opis:: We define a modulus for the property (β) of Rolewicz and study some useful properties in fixed point theory for nonexpansive mappings. Moreover, we calculate this modulus in $l^p$ spaces for the main measures of noncompactness.
Źródło:: Colloquium Mathematicum; 1997, 73, 2; 183-191
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Weak uniform normal structure and iterative fixed points of nonexpansive mappings
Autorzy:: Domínguez Benavides, T.
López Acedo, G.
Xu, Hong
Powiązania:: https://bibliotekanauki.pl/articles/967052.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: nonexpansive mapping
iterative fixed point
geometrical coefficients of Banach spaces
James' quasi-reflexive space
weak uniform normal structure
Opis:: This paper is concerned with weak uniform normal structure and iterative fixed points of nonexpansive mappings. Precisely, in Section 1, we show that the geometrical coefficient β(X) for a Banach space X recently introduced by Jimenez-Melado [8] is exactly the weakly convergent sequence coefficient WCS(X) introduced by Bynum [1] in 1980. We then show in Section 2 that all kinds of James' quasi-reflexive spaces have weak uniform normal structure. Finally, in Section 3, we show that in a space X with weak uniform normal structure, every nonexpansive self-mapping defined on a weakly sequentially compact convex subset of X admits an iterative fixed point.
Źródło:: Colloquium Mathematicum; 1995, 68, 1; 17-23
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

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