Geodesic
Banach–Steinhaus type Theorem in locally convex spaces for $\sigma$-Locally Lipschitzian convex processes
Vladikavkazskij matematičeskij žurnal, Tome 10 (2008) no. 2, pp. 32-35 
S. Lahrech; A. Jaddar; J. Hlal; A. Ouahab; A. Mbarki. Banach–Steinhaus type Theorem in locally convex spaces for $\sigma$-Locally Lipschitzian convex processes. Vladikavkazskij matematičeskij žurnal, Tome 10 (2008) no. 2, pp. 32-35. http://geodesic.mathdoc.fr/item/VMJ_2008_10_2_a4/
@article{VMJ_2008_10_2_a4,
     author = {S. Lahrech and A. Jaddar and J. Hlal and A. Ouahab and A. Mbarki},
     title = {Banach{\textendash}Steinhaus type {Theorem} in locally convex spaces for $\sigma${-Locally} {Lipschitzian} convex processes},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {32--35},
     year = {2008},
     volume = {10},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2008_10_2_a4/}
}
TY  - JOUR
AU  - S. Lahrech
AU  - A. Jaddar
AU  - J. Hlal
AU  - A. Ouahab
AU  - A. Mbarki
TI  - Banach–Steinhaus type Theorem in locally convex spaces for $\sigma$-Locally Lipschitzian convex processes
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2008
SP  - 32
EP  - 35
VL  - 10
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMJ_2008_10_2_a4/
LA  - en
ID  - VMJ_2008_10_2_a4
ER  - 
%0 Journal Article
%A S. Lahrech
%A A. Jaddar
%A J. Hlal
%A A. Ouahab
%A A. Mbarki
%T Banach–Steinhaus type Theorem in locally convex spaces for $\sigma$-Locally Lipschitzian convex processes
%J Vladikavkazskij matematičeskij žurnal
%D 2008
%P 32-35
%V 10
%N 2
%U http://geodesic.mathdoc.fr/item/VMJ_2008_10_2_a4/
%G en
%F VMJ_2008_10_2_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

The main purpose of this paper is to generalize the Banach–Steinhaus theorem in locally convex spaces for $\sigma$-locally Lipschitzian operators established by $S$. Lahrech in [1] to $\sigma$-locally Lipschitzian convex processes.

[1] Lahrech S., “Banach–Steinhaus type theorem in locally convex spaces for linear $\sigma$-locally Lipschitzian operators”, Miskolc Mathematical Notes, 6 (2005), 43–45 | Zbl

[2] Rockafellar R. T., Monotone processes of Convex and Concave type, Memoirs of the Amer. Math. Soc., 77, 1967 | Zbl

[3] Rockafellar R. T., Convex Analysis, Princeton Univ. Press, Princeton, 1970 | Zbl

[4] Borwein J. M., Lewis A. S., Convex Analysis and Nonlinear Optimization, CMS Books in Mathematics, Gargnano, 1999

[5] Wilansky A., Modem Methods in TVS, McGraw-Hill, 1978 | Zbl

[6] Kothe G., Toplogical vector spaces, v. I, Springer, Berlin etc., 1983

[7] Brézis H., Analyse fonctionnelle, Théorie et applications, Masson, 1983 | Zbl