A note on weakly ( μ , λ ) -closed functions

Bishwambhar Roy

Mathematica Bohemica (2013)

  • Volume: 138, Issue: 4, page 397-405
  • ISSN: 0862-7959

Abstract

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In this paper we introduce a new class of functions called weakly ( μ , λ ) -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly ( μ , λ ) -closed functions enable us to facilitate the formulation of certain unified theories for different weaker forms of closed functions.

How to cite

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Roy, Bishwambhar. "A note on weakly $(\mu ,\lambda )$-closed functions." Mathematica Bohemica 138.4 (2013): 397-405. <http://eudml.org/doc/260660>.

@article{Roy2013,
abstract = {In this paper we introduce a new class of functions called weakly $(\mu ,\lambda )$-closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly $(\mu ,\lambda )$-closed functions enable us to facilitate the formulation of certain unified theories for different weaker forms of closed functions.},
author = {Roy, Bishwambhar},
journal = {Mathematica Bohemica},
keywords = {$\mu $-open set; weakly $(\mu ,\lambda )$-closed function; contra $(\mu ,\lambda )$-open function; strongly $(\mu ,\lambda )$-continuous function; -open set; weakly -closed function; contra -open function; strongly -continuous function},
language = {eng},
number = {4},
pages = {397-405},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on weakly $(\mu ,\lambda )$-closed functions},
url = {http://eudml.org/doc/260660},
volume = {138},
year = {2013},
}

TY - JOUR
AU - Roy, Bishwambhar
TI - A note on weakly $(\mu ,\lambda )$-closed functions
JO - Mathematica Bohemica
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 138
IS - 4
SP - 397
EP - 405
AB - In this paper we introduce a new class of functions called weakly $(\mu ,\lambda )$-closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly $(\mu ,\lambda )$-closed functions enable us to facilitate the formulation of certain unified theories for different weaker forms of closed functions.
LA - eng
KW - $\mu $-open set; weakly $(\mu ,\lambda )$-closed function; contra $(\mu ,\lambda )$-open function; strongly $(\mu ,\lambda )$-continuous function; -open set; weakly -closed function; contra -open function; strongly -continuous function
UR - http://eudml.org/doc/260660
ER -

References

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  2. Császár, Á., 10.1023/A:1019713018007, Acta Math. Hung. 96 (2002), 351-357. (2002) Zbl1006.54003MR1922680DOI10.1023/A:1019713018007
  3. Császár, Á., 10.1007/s10474-005-0005-5, Acta Math. Hung. 106 (2005), 53-66. (2005) Zbl1076.54500MR2127051DOI10.1007/s10474-005-0005-5
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  13. Rose, D. A., Janković, D. S., 10.1002/mana.19871300109, Math. Nachr. 130 (1987), 105-110. (1987) Zbl0622.54008MR0885619DOI10.1002/mana.19871300109
  14. Roy, B., On a type of generalized open sets, Appl. Gen. Topol. 12 (2011), 163-173. (2011) Zbl1236.54019MR2864008
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