Geodesic
On Modulus of Noncompact Convexity and Its Properties
Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 186-192

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper we prove some properties of the so-called modulus of noncompact convexity. This notion was recently introduced by K. Goebel and T. Sȩkowski [6] and it appears to be an interesting and useful generalization of the classical Clarkson modulus of convexity. We extend the results obtained in [6] showing that the modulus of noncompact convexity is continuous and has some extra properties in reflexive Banach spaces. The properties applicable in the fixed point theory are also stated.
DOI : 10.4153/CMB-1987-027-8
Mots-clés : 46B20 
Banaś, Józef. On Modulus of Noncompact Convexity and Its Properties. Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 186-192. doi: 10.4153/CMB-1987-027-8
@article{10_4153_CMB_1987_027_8,
     author = {Bana\'s, J\'ozef},
     title = {On {Modulus} of {Noncompact} {Convexity} and {Its} {Properties}},
     journal = {Canadian mathematical bulletin},
     pages = {186--192},
     year = {1987},
     volume = {30},
     number = {2},
     doi = {10.4153/CMB-1987-027-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-027-8/}
}
TY  - JOUR
AU  - Banaś, Józef
TI  - On Modulus of Noncompact Convexity and Its Properties
JO  - Canadian mathematical bulletin
PY  - 1987
SP  - 186
EP  - 192
VL  - 30
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-027-8/
DO  - 10.4153/CMB-1987-027-8
ID  - 10_4153_CMB_1987_027_8
ER  - 
%0 Journal Article
%A Banaś, Józef
%T On Modulus of Noncompact Convexity and Its Properties
%J Canadian mathematical bulletin
%D 1987
%P 186-192
%V 30
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1987-027-8/
%R 10.4153/CMB-1987-027-8
%F 10_4153_CMB_1987_027_8

Cité par Sources :