Convergences preserving the fixed point property

Ivan Kupka

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 4, page 483-494
  • ISSN: 0232-0525

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Kupka, Ivan. "Convergences preserving the fixed point property." Mathematica Slovaca 50.4 (2000): 483-494. <http://eudml.org/doc/32143>.

@article{Kupka2000,
author = {Kupka, Ivan},
journal = {Mathematica Slovaca},
keywords = {strong convergence; fine topology; graph topology; open-cover topology},
language = {eng},
number = {4},
pages = {483-494},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Convergences preserving the fixed point property},
url = {http://eudml.org/doc/32143},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Kupka, Ivan
TI - Convergences preserving the fixed point property
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 4
SP - 483
EP - 494
LA - eng
KW - strong convergence; fine topology; graph topology; open-cover topology
UR - http://eudml.org/doc/32143
ER -

References

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  2. DI MAIO G.-HOLA E.-HOLY D.-MCCOY R. A., Topologies on the space of continuous functions, Topology Appl. 86 (1998), 105-122. (1998) Zbl0940.54023MR1621396
  3. DI MAIO G.-HOLA E.-HOLY D., Attouch-Wets topology on function spaces, Boll. Un. Mat. Ital. A (7) 9 (1995), 259 272. (1995) Zbl0842.54028MR1336235
  4. FOURNIER G.-GRANAS A., The Lefschetz fixed point theorem for some classes of non-metrizable spaces, J. Math. Pures Appl. (9) 52 (1973), 271-284. (1973) Zbl0294.54034MR0339116
  5. GODET-THOBIE, CH.-KUPKA I., Strong convergence and fixed points, Preprint 1993. (1993) 
  6. HOLA E.-MCCOY R. A., Functions having closed graphs, Kobe J. Math. 10 (1993), 117-124. (1993) Zbl0806.54011MR1270148
  7. HOLÁ E.-MCCOY R. A., Compactness in the fine and related topologies, Preprint. Zbl0990.54016
  8. HOLÝ D., Properties related to the first countability in the fine and further topologies, Preprint. Zbl1072.54012MR1836383
  9. IRUDYANATHAN A., Cover close topologies on function spaces, Gen. Topoplogy Appl. 10 (1979), 275-281. (1979) MR0546100
  10. KELLEY J., General Topology, Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
  11. KUPKA I., A generalised uniform convergence and Dini's theorem, New Zealand J. Math. 26 (1997), 67-72. (1997) MR1630144
  12. KUPKA I.-TOMA V., A uniform convergence for non-uniform spaces, Publ. Math. Debrecen 47 (1995), 299-309. (1995) Zbl0879.54003MR1362292
  13. NAIMPALLY S. A., Graph topology for function spaces, Trans. Amer. Math. Soc. 123 (1966), 267-272. (1966) Zbl0151.29703MR0192466
  14. PÉRAIRE Y., Convergence forte et relation forte, Preprint 1997. (1997) 
  15. SMITHSON R. E., Multifunctions, Nieuw Arch. Wisk. (4) 20 (1972), 31-53. (1972) Zbl0238.54047MR0305338
  16. TOMA V., Strong convergence and Dini theorems for non-uniform spaces, Ann. Math. Blaise Pascal 4 (1997). 97-102. (1997) Zbl0888.54007MR1600069
  17. TUKEY J. W., Convergence and Uniformity in Topology, Princeton University Press, Princeton, 1940. (1940) Zbl0025.09102MR0002515

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