Singularities and equicontinuity of certain families of set-valued mappings
Commentationes Mathematicae Universitatis Carolinae (1998)
- Volume: 39, Issue: 2, page 353-365
- ISSN: 0010-2628
Access Full Article
top
Abstract
topHow to cite
topTrif, Tiberiu. "Singularities and equicontinuity of certain families of set-valued mappings." Commentationes Mathematicae Universitatis Carolinae 39.2 (1998): 353-365. <http://eudml.org/doc/248251>.
@article{Trif1998,
abstract = {In the present paper we establish an abstract principle of condensation of singularities for families consisting of set-valued mappings. By using it as a basic tool, the condensation of the singularities and the equicontinuity of certain families of generalized convex set-valued mappings are studied. In particular, a principle of condensation of the singularities of families of closed convex processes is derived. This principle immediately yields the uniform boundedness theorem stated in [1, Theorem 2.3.1].},
author = {Trif, Tiberiu},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {condensation of the singularities; equicontinuity; generalized convex set-valued mappings; closed convex processes; condensation of the singularities; equicontinuity},
language = {eng},
number = {2},
pages = {353-365},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Singularities and equicontinuity of certain families of set-valued mappings},
url = {http://eudml.org/doc/248251},
volume = {39},
year = {1998},
}
TY - JOUR
AU - Trif, Tiberiu
TI - Singularities and equicontinuity of certain families of set-valued mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 2
SP - 353
EP - 365
AB - In the present paper we establish an abstract principle of condensation of singularities for families consisting of set-valued mappings. By using it as a basic tool, the condensation of the singularities and the equicontinuity of certain families of generalized convex set-valued mappings are studied. In particular, a principle of condensation of the singularities of families of closed convex processes is derived. This principle immediately yields the uniform boundedness theorem stated in [1, Theorem 2.3.1].
LA - eng
KW - condensation of the singularities; equicontinuity; generalized convex set-valued mappings; closed convex processes; condensation of the singularities; equicontinuity
UR - http://eudml.org/doc/248251
ER -
References
top- Aubin J.P., Frankowska H., Set-Valued Analysis, Birkhäuser Boston (1990). (1990) Zbl0713.49021MR1048347
- Breckner W.W., Stetigkeitsaussagen für eine Klasse verallgemeinerter konvexer Funktionen in topologischen linearen Räumen, Publ. Inst. Math. (Beograd) 23 (37) (1978), 13-20. (1978) Zbl0416.46029MR0508122
- Breckner W.W., A principle of condensation of singularities for set-valued functions, Mathematica-Rev. Anal. Numér. Théor. Approx., Sér. L'Anal. Numér. Théor. Approx. 12 (1983), 101-111. (1983) Zbl0527.54015MR0743128
- Breckner W.W., Continuity of generalized convex and generalized concave set-valued functions, Rev. Anal. Numér. Théor. Approx. 22 (1993), 39-51. (1993) Zbl0799.54016MR1621546
- Breckner W.W., Trif T., On the singularities of certain families of nonlinear mappings, Pure Math. Appl. 6 (1995), 121-137. (1995) Zbl0852.47034MR1430264
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.