Research Article
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Some Functions via Delta-Semiopen Sets

Year 2017, Volume: 43 Issue: 2, 189 - 197, 31.10.2017

Abstract

In this paper, it is introduced and studied new
classes of generalizations of some non-continuous functions concerning the
concepts of weak forms of
d-semiopen sets in topological spaces. And also it is
given some of their properties.

References

  • Abd El-Monsef ME, El-Deeb SN and Mahmoud RA (1983). β-open sets and β-continuous mapping. Bull. Fac. Sci. Assiut Univ. A 12: 77-90.
  • Al-Nashef B (2002). A decomposition of α-continuity and semi-continuity. Acta Math. Hungar. 97: 115-120.
  • Beceren Y, Noiri T, Fidancı MC and Arslan K (2006). On some generalizations of locally closed sets and lc-continuous functions. Far East J. Math. Sci. (FJMS) 22: 333-344.
  • Beceren Y and Noiri T (2008). Some functions defined by semi-open and β-open sets. Chaos Solitons Fractals 36: 1225-1231.
  • Bourbaki N (1966). Elements of Mathematics, General Topology. Part 1. Hermann, Addison-Wesley Publishing Co., Reading, Mass., Paris.
  • Caldas M, Georgiou DN, Jafari S and Noiri T (2003). More on -semiopen sets. Note Mat. 22: 113-126.
  • Caldas M, Jafari S and Saraf RK (2009). On a non-continuous and stronger form of Levine’s semi-continuous functions. Math. Commun. 14: 19-25.
  • Janković DS (1983). On locally irreducible spaces. Ann. Soc. Sci. Bruxelles Sér. I 97: 59-72.
  • Levine N (1963). Semi open sets and semi continuity in topological spaces. Amer. Math. Monthly 70: 36-41.
  • Levine N (1970). Generalized closed sets in topology. Rend. Circ. Mat. Palermo (2) 19: 89-96.
  • Mashhour AS, Abd El-Monsef ME and El-Deeb SN (1982). On precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt 53: 47-53.
  • Nasef AA and Noiri T (1998). Strong forms of faint continuity. Mem. Fac. Sci. Kochi Univ. Ser. A Math. 19: 21-28.
  • Njåstad O (1965). On some classes of nearly open sets. Pacific J. Math. 15: 961-970.
  • Noiri T (1996). Mildly normal spaces and some functions. Kyungpook Math. J. 36: 183-190.
  • Palaniappan N and Rao KC (1993). Regular generalized closed sets. Kyungpook Math. J. 33: 211-219.
  • Park JH, Lee BY and Son MJ (1997). On -semiopen sets in topological space. J. Indian Acad. Math. 19: 59-67.
  • Rani IA and Balachandran K (1997). On regular generalized continuous maps in topological spaces. Kyungpook Math. J. 37: 305-314.
  • Veličko NV (1968). H-closed topological spaces. Amer. Math. Soc. Transl. 78: 103-118.

Delta-Yarıaçık Kümelerle Bazı Fonksiyonlar

Year 2017, Volume: 43 Issue: 2, 189 - 197, 31.10.2017

Abstract

Bu makalede, topolojik
uzaylarda
d-yarıaçık kümelerin zayıf kavramlarıyla bazı sürekli
olmayan fonksiyonların yeni genelleştirmeleri ortaya konuldu ve çalışıldı. Aynı
zamanda, bu fonksiyonların sağladığı bazı özellikler verildi.

References

  • Abd El-Monsef ME, El-Deeb SN and Mahmoud RA (1983). β-open sets and β-continuous mapping. Bull. Fac. Sci. Assiut Univ. A 12: 77-90.
  • Al-Nashef B (2002). A decomposition of α-continuity and semi-continuity. Acta Math. Hungar. 97: 115-120.
  • Beceren Y, Noiri T, Fidancı MC and Arslan K (2006). On some generalizations of locally closed sets and lc-continuous functions. Far East J. Math. Sci. (FJMS) 22: 333-344.
  • Beceren Y and Noiri T (2008). Some functions defined by semi-open and β-open sets. Chaos Solitons Fractals 36: 1225-1231.
  • Bourbaki N (1966). Elements of Mathematics, General Topology. Part 1. Hermann, Addison-Wesley Publishing Co., Reading, Mass., Paris.
  • Caldas M, Georgiou DN, Jafari S and Noiri T (2003). More on -semiopen sets. Note Mat. 22: 113-126.
  • Caldas M, Jafari S and Saraf RK (2009). On a non-continuous and stronger form of Levine’s semi-continuous functions. Math. Commun. 14: 19-25.
  • Janković DS (1983). On locally irreducible spaces. Ann. Soc. Sci. Bruxelles Sér. I 97: 59-72.
  • Levine N (1963). Semi open sets and semi continuity in topological spaces. Amer. Math. Monthly 70: 36-41.
  • Levine N (1970). Generalized closed sets in topology. Rend. Circ. Mat. Palermo (2) 19: 89-96.
  • Mashhour AS, Abd El-Monsef ME and El-Deeb SN (1982). On precontinuous and weak precontinuous mappings. Proc. Math. Phys. Soc. Egypt 53: 47-53.
  • Nasef AA and Noiri T (1998). Strong forms of faint continuity. Mem. Fac. Sci. Kochi Univ. Ser. A Math. 19: 21-28.
  • Njåstad O (1965). On some classes of nearly open sets. Pacific J. Math. 15: 961-970.
  • Noiri T (1996). Mildly normal spaces and some functions. Kyungpook Math. J. 36: 183-190.
  • Palaniappan N and Rao KC (1993). Regular generalized closed sets. Kyungpook Math. J. 33: 211-219.
  • Park JH, Lee BY and Son MJ (1997). On -semiopen sets in topological space. J. Indian Acad. Math. 19: 59-67.
  • Rani IA and Balachandran K (1997). On regular generalized continuous maps in topological spaces. Kyungpook Math. J. 37: 305-314.
  • Veličko NV (1968). H-closed topological spaces. Amer. Math. Soc. Transl. 78: 103-118.
There are 18 citations in total.

Details

Journal Section Research Articles
Authors

Yusuf Beceren

Publication Date October 31, 2017
Submission Date May 12, 2017
Published in Issue Year 2017 Volume: 43 Issue: 2

Cite

APA Beceren, Y. (2017). Some Functions via Delta-Semiopen Sets. Selcuk University Journal of Science Faculty, 43(2), 189-197.
AMA Beceren Y. Some Functions via Delta-Semiopen Sets. sufefd. October 2017;43(2):189-197.
Chicago Beceren, Yusuf. “Some Functions via Delta-Semiopen Sets”. Selcuk University Journal of Science Faculty 43, no. 2 (October 2017): 189-97.
EndNote Beceren Y (October 1, 2017) Some Functions via Delta-Semiopen Sets. Selcuk University Journal of Science Faculty 43 2 189–197.
IEEE Y. Beceren, “Some Functions via Delta-Semiopen Sets”, sufefd, vol. 43, no. 2, pp. 189–197, 2017.
ISNAD Beceren, Yusuf. “Some Functions via Delta-Semiopen Sets”. Selcuk University Journal of Science Faculty 43/2 (October 2017), 189-197.
JAMA Beceren Y. Some Functions via Delta-Semiopen Sets. sufefd. 2017;43:189–197.
MLA Beceren, Yusuf. “Some Functions via Delta-Semiopen Sets”. Selcuk University Journal of Science Faculty, vol. 43, no. 2, 2017, pp. 189-97.
Vancouver Beceren Y. Some Functions via Delta-Semiopen Sets. sufefd. 2017;43(2):189-97.

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Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

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