Geodesic
Some Geometric and Proximinality Properties in Banach Spaces
Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1139-1158
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We present some geometric and approximation theoretic characterizations of locally uniform convex, compactly locally uniformly convex, nearly uniformly convex, compactly uniformly convex and uniformly convex Banach spaces. The approximation theoretic characterizations of compactly locally uniformly convex spaces presented in this paper provide some answers to a question posed by F. Deutsch and J. Lambert in their paper On continuity of metric projections, J. Approx. Theory 29 (1980) 116--131.
Classification : 41A65, 46B20
Mots-clés : Compactly locally uniformly convex, nearly uniformly convex, compactly uniformly convex, approximative compactness, metric projection 
@article{JCA_2018_25_4_JCA_2018_25_4_a4,
     author = {P. Shunmugaraj and V. Thota},
     title = {Some {Geometric} and {Proximinality} {Properties} in {Banach} {Spaces}},
     journal = {Journal of convex analysis},
     pages = {1139--1158},
     year = {2018},
     volume = {25},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a4/}
}
TY  - JOUR
AU  - P. Shunmugaraj
AU  - V. Thota
TI  - Some Geometric and Proximinality Properties in Banach Spaces
JO  - Journal of convex analysis
PY  - 2018
SP  - 1139
EP  - 1158
VL  - 25
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a4/
ID  - JCA_2018_25_4_JCA_2018_25_4_a4
ER  - 
%0 Journal Article
%A P. Shunmugaraj
%A V. Thota
%T Some Geometric and Proximinality Properties in Banach Spaces
%J Journal of convex analysis
%D 2018
%P 1139-1158
%V 25
%N 4
%U http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a4/
%F JCA_2018_25_4_JCA_2018_25_4_a4
P. Shunmugaraj; V. Thota. Some Geometric and Proximinality Properties in Banach Spaces. Journal of convex analysis, Tome 25 (2018) no. 4, pp. 1139-1158. http://geodesic.mathdoc.fr/item/JCA_2018_25_4_JCA_2018_25_4_a4/