Uniform convergence on spaces of multifunctions

Dušan Holý

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 6, page [561]-570
  • ISSN: 0232-0525

How to cite

top

Holý, Dušan. "Uniform convergence on spaces of multifunctions." Mathematica Slovaca 57.6 (2007): [561]-570. <http://eudml.org/doc/34670>.

@article{Holý2007,
author = {Holý, Dušan},
journal = {Mathematica Slovaca},
keywords = {Hausdorff metric topology; multifunction with closed graph; USCO multifunction; minimal USCO multifunction; densely continuous form; locally bounded densely continuous form; complete metric space; Baire space},
language = {eng},
number = {6},
pages = {[561]-570},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Uniform convergence on spaces of multifunctions},
url = {http://eudml.org/doc/34670},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Holý, Dušan
TI - Uniform convergence on spaces of multifunctions
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 6
SP - [561]
EP - 570
LA - eng
KW - Hausdorff metric topology; multifunction with closed graph; USCO multifunction; minimal USCO multifunction; densely continuous form; locally bounded densely continuous form; complete metric space; Baire space
UR - http://eudml.org/doc/34670
ER -

References

top
  1. BEER G., Topologies on Closed and Closed Convex Sets, Kluwer Academic Publishers, Dordrecht, 1993. (1993) Zbl0792.54008MR1269778
  2. BERGE C., Topological Spaces, Oliver and Boyd, Edinburgh, 1963. (1963) Zbl0114.38602
  3. CHRISTENSEN J. P. R., Theorems of Namioka and R. E. Johnson type for upper semicontinuous and compact valued mappings, Proc. Amer. Math. Soc. 86 (1982), 649-655. (1982) MR0674099
  4. DOLECKI S., Semicontinuity in constrained optimization, Control Cybernet. 2 (1978), 5-16. (1978) Zbl0422.90086MR0641777
  5. DREWNOWSKI L.-LABUDA I., On minimal upper semicontinuous compact valued maps, Rocky Mountain J. Math. 20 (1990), 737-752. (1990) Zbl0742.54006MR1073720
  6. FORT M. K., Points of continuity of semi-continuous functions, Publ. Math. Debrecen 2 (1951-1952), 100-102. (1951) Zbl0044.05703MR0046636
  7. HAMMER S. T.-McCOY R. A., Spaces of densely continuous forms, Set-Valued Anal. 5 (1997), 247-266. (1997) Zbl0892.54009MR1486774
  8. HOLA E., Spaces of densely continuous forms, USCO and minimal USCO maps, Set-Valued Anal. 11 (2003), 133-151. Zbl1022.54012MR1966697
  9. HOLA E., The Attouch-Wets topology and a characterisation of normable linear spaces, Bull. Austral. Math. Soc. 44 (1991), 11-18. (1991) Zbl0716.54013MR1120389
  10. HOLÁ Ľ.-McCOY R. A., Functions having closed graphs, Kobe J. Math. 10 (1993), 117-124. (1993) Zbl0806.54011MR1270148
  11. MATEJDES M., Minimal multifunctions and the cluster sets, Tatra Mt. Math. Pub. 34 (2006), 71-76. Zbl1135.54309MR2287242
  12. MATEJDES M., Minimality of multifunctions, Rеal Anal. Exchange (To appear). Zbl1138.54016MR2369860

NotesEmbed ?

top

You 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.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.