Quasicontinuity and related properties of functions and multivalued maps

Janina Ewert

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 4, page 393-403
  • ISSN: 0862-7959

Abstract

top
The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.

How to cite

top

Ewert, Janina. "Quasicontinuity and related properties of functions and multivalued maps." Mathematica Bohemica 120.4 (1995): 393-403. <http://eudml.org/doc/247797>.

@article{Ewert1995,
abstract = {The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.},
author = {Ewert, Janina},
journal = {Mathematica Bohemica},
keywords = {uniform space; multifunctions; decomposition theorem; quasicontinuity; multivalued map; uniform space; multifunctions; decomposition theorem; quasicontinuity},
language = {eng},
number = {4},
pages = {393-403},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quasicontinuity and related properties of functions and multivalued maps},
url = {http://eudml.org/doc/247797},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Ewert, Janina
TI - Quasicontinuity and related properties of functions and multivalued maps
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 4
SP - 393
EP - 403
AB - The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.
LA - eng
KW - uniform space; multifunctions; decomposition theorem; quasicontinuity; multivalued map; uniform space; multifunctions; decomposition theorem; quasicontinuity
UR - http://eudml.org/doc/247797
ER -

References

top
  1. D. Andrijević, Semi-preopen sets, Mat. Vestnik 38 (1986), 24-32. (1986) 
  2. J. Borsík J. Doboš, 10.2307/44153699, Real Anal. Exch. 16 (1990-91), 292-305. (1990) MR1087494DOI10.2307/44153699
  3. J. Ewert, On quasi-continuous and cliquish maps with values in uniform spaces, Bull. Polish Acad. Sci. Math. 32 (1984), 81-88. (1984) Zbl0579.54008MR0766984
  4. J. Ewert, 10.1007/BF01903703, Acta Math. Hungarica 56 (1990), 39-44. (1990) Zbl0724.54016MR1100774DOI10.1007/BF01903703
  5. J. Ewert, On almost quasicontinuity of functions, Tatra Mountains Math. Publ. 2 (1993), 81-91. (1993) Zbl0835.54010MR1251042
  6. L. A. Fudali, On cliquish functions on product spaces, Math. Slovaca 33 (1983), 53-58. (1983) Zbl0512.54007MR0689278
  7. H. Hashimoto, 10.4064/fm-91-1-5-10, Fundam. Math. 91 (1976), 5-10. (1976) MR0413058DOI10.4064/fm-91-1-5-10
  8. T. Husain, Almost continuous mappings, Prace Mat. 10 (1966), 1-7. (1966) Zbl0138.17601MR0220256
  9. S. Kempisty, 10.4064/fm-19-1-184-197, Fundam. Math. 19 (1932), 184-197. (1932) DOI10.4064/fm-19-1-184-197
  10. N. Levine, 10.1080/00029890.1963.11990039, Amer. Math. Monthly 70 (1963), 36-41. (1963) Zbl0113.16304MR0166752DOI10.1080/00029890.1963.11990039
  11. J. S. Lipiński T. Šalát, On the points of quasi-continuity and cliquishness of functions, Czechoslov. Math. J. 21 (1971), 484-489. (1971) MR0287517
  12. T. Neubrunn, Quasicontinuity, Real Anal. Exch. 14 (1988-89), 259-306. (1988) MR0995972
  13. A. Neubrunnová, On quasicontinuous and cliquish functions, Časopis Pěst. Mat. 99 (1974), 109-114. (1974) MR0360948
  14. A. Neubrunnová T. Šalát, On almost quasicontinuity, Math. Bohemica 117 (1992), 197-205. (1992) MR1165897
  15. J. C. Oxtoby, Measure and category, New York-Heidelberg-Berlin, 1971. (1971) Zbl0217.09201
  16. V. Popa, H-almost continuous multifunctions, Stud. Cerc. Mat. 32 (1980), 103-109. (1980) Zbl0435.54014MR0581500
  17. J. Smítal E. Stanová, On almost continuous functions, Acta Math. Univ. Comenianae 37 (1980), 147-156. (1980) MR0645781
  18. H. P. Thielman, 10.1080/00029890.1953.11988260, Amer. Math. Monthly 60 (1953), 156-161. (1953) Zbl0051.13801MR0052495DOI10.1080/00029890.1953.11988260

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.