On strong convergence of multivalued maps

Irena Domnik

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 2, page 199-209
  • ISSN: 0139-9918

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Domnik, Irena. "On strong convergence of multivalued maps." Mathematica Slovaca 53.2 (2003): 199-209. <http://eudml.org/doc/32251>.

@article{Domnik2003,
author = {Domnik, Irena},
journal = {Mathematica Slovaca},
keywords = {multivalued map; uniform space; uniform convergence; strong convergence},
language = {eng},
number = {2},
pages = {199-209},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On strong convergence of multivalued maps},
url = {http://eudml.org/doc/32251},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Domnik, Irena
TI - On strong convergence of multivalued maps
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 2
SP - 199
EP - 209
LA - eng
KW - multivalued map; uniform space; uniform convergence; strong convergence
UR - http://eudml.org/doc/32251
ER -

References

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  1. ARENS R. F., A topology for spaces of transformations, Ann. of Math. (2) 47 (1946), 480-495. (1946) Zbl0060.39704MR0017525
  2. DEL PRETE L.-DI IORIO M.-HOLÁ Ľ., Graph convergence of set valued maps and its relationship to other convergences, J. Appl. Anal. 4 (2000), 213-226. MR1805100
  3. EWERT J., On convergence of multivalued maps, Tatra Mt. Math. Publ. 8 (1996), 43-50. (1996) Zbl0914.54015MR1475258
  4. FRANCAVIGLIA F.-LECHICKI A.-LEVI S., Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions, J. Math. Anal. Appl. 112 (1985), 347-370. (1985) Zbl0587.54003MR0813603
  5. KASAHARA S.-KASAHARA K., Note on the Lebesgue property in uniform spaces, Proc. Japan Acad. Ser. A Math. Sci. 31 (1955), 1615-1617. (1955) Zbl0066.41101MR0073143
  6. KOVAČEVIĆ I., Subsets and paracompactness, Zb. Rad. Prirod.-Mat. Fak. Ser. Mat. 14 (1984), 79-87. (1984) Zbl0597.54021MR0850242
  7. KOWALCZYK S., Topological convergence of multivalued maps and topological convergence of graphs, Demonstratio Math. 27 (1994), 79-87. (1994) Zbl0824.54011MR1276352
  8. KUPKA I., A convergence preserving upper and lower semicontinuity of multifunctions, Tatra Mt. Math. Publ. (To appear). Zbl1025.54013MR1939722
  9. KUPKA I.-TOMA V., A uniform convergence for non-uniform spaces, Publ. Math. Debrecen 47 (1995), 299-309. (1995) Zbl0879.54003MR1362292
  10. KURATOWSKI K., Topology, Vol 1, Academic Press; PWN-Polish Sci. Publ., New York-London; Warsaw, 1966. (1966) Zbl0163.17002MR0217751

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