α -continuous and α -irresolute multifunctions

Jiling Cao; Ivan L. Reilly

Mathematica Bohemica (1996)

  • Volume: 121, Issue: 4, page 415-424
  • ISSN: 0862-7959

Abstract

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Recently Popa and Noiri [10] established some new characterizations and basic properties of α -continuous multifunctions. In this paper, we improve some of their results and examine further properties of α -continuous and α -irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].

How to cite

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Cao, Jiling, and Reilly, Ivan L.. "$\alpha $-continuous and $\alpha $-irresolute multifunctions." Mathematica Bohemica 121.4 (1996): 415-424. <http://eudml.org/doc/247959>.

@article{Cao1996,
abstract = {Recently Popa and Noiri [10] established some new characterizations and basic properties of $\alpha $-continuous multifunctions. In this paper, we improve some of their results and examine further properties of $\alpha $-continuous and $\alpha $-irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].},
author = {Cao, Jiling, Reilly, Ivan L.},
journal = {Mathematica Bohemica},
keywords = {upper (lower) $\alpha $-continuous; upper (lower) $\alpha $-irresolute; strongly $\alpha $-closed graph; almost compact; almost paracompact; upper -continuous; lower -continuous; upper -irresolute; lower -irresolute; strongly -closed graph; almost compact},
language = {eng},
number = {4},
pages = {415-424},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$\alpha $-continuous and $\alpha $-irresolute multifunctions},
url = {http://eudml.org/doc/247959},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Cao, Jiling
AU - Reilly, Ivan L.
TI - $\alpha $-continuous and $\alpha $-irresolute multifunctions
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 4
SP - 415
EP - 424
AB - Recently Popa and Noiri [10] established some new characterizations and basic properties of $\alpha $-continuous multifunctions. In this paper, we improve some of their results and examine further properties of $\alpha $-continuous and $\alpha $-irresolute multifunctions. We also make corrections to some theorems of Neubrunn [7].
LA - eng
KW - upper (lower) $\alpha $-continuous; upper (lower) $\alpha $-irresolute; strongly $\alpha $-closed graph; almost compact; almost paracompact; upper -continuous; lower -continuous; upper -irresolute; lower -irresolute; strongly -closed graph; almost compact
UR - http://eudml.org/doc/247959
ER -

References

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  7. T. Neubrunn, Strongly quasi-continuous multivalued mappings, General Topology and its Relations to Modern Analysis and Algebra VI. Proc. of the Symposium, Prague, 1986, Heldermann Verlag Berlin, 1988, pp. 351-359. (1986) MR0952621
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  9. T. Noiri, On α -continuous functions, Časopis Pěst. Mat. 109 (1984), 118-126. (1984) Zbl0544.54009MR0744869
  10. V. Popa T. Noiri, On upper and lower α -continuous multifunctions, Math. Slovaca 4З (1993), 261-265. (1993) MR1248981
  11. I. L. Reilly M. K. Vamanamurthy, Connectedness and strong semi-continuity, Časopis Pěst. Mat. 109 (1984), 261-265. (1984) MR0755590
  12. I. L. Reilly M. K. Vamanamurthy, 10.1007/BF01955019, Acta Math. Hung. 45 (1985), 27-32. (1985) MR0779514DOI10.1007/BF01955019
  13. I. L. Reilly M. K. Vamanamurthy, On α -sets in topological spaces, Tamkang J. Math. 16 (1985), 7-11. (1985) MR0805724
  14. M. K. Singal R. Asha, On almost M-compact spaces, Ann. Soc. Sci. Bruxelles 82 (1968), 233-242. (1968) Zbl0183.27301MR0236879
  15. M. K. Singal S. P. Arya, 10.1007/BF01350631, Math. Anal. 181 (1969), 119-133. (1969) MR0246256DOI10.1007/BF01350631
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