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Year 2012, Volume: 1 Issue: 1, 40 - 49, 01.01.2012

Abstract

References

  • Abd El-Monsef ME., El-Deed SN and Mahmoud RA., β-open sets and β-continuous mappings. Bull Fac Sci: Assiut Univ.,12 (1983) 77-90.
  • Abd El-Monsef ME. and Nasef AA., On multifunctions, Chaos, Solitons & Fractals, 12:23 (2001) 87-94.
  • Al-Omari A. and Noorani SMd., Decomposition of continuity via b−open set, Bol. Soc. Paran. Mat., 26 (1-2) (2008) 53-64.
  • Al-Omari A. and Noorani SMd., Some properties of contra b−continuous and al- most contra b−continuous functions, European J. of Pure and App. Math., 2 (2009) 213-30.
  • Al-Omari A. and Noorani SMd., On generalized b-closed sets. Bull Malays Math Sci Soc., (2) 32 (1) (2009) 19-30.
  • Andrijevic D., Semi-preopen sets. Mat Vesnik, 38 (1) (1986) 24-32.
  • Andrijevic D., On b-open sets. Mat. Vesnik, 48 (1996) 59-64.
  • Arya, S.P. and Noiri, T., Characterizations of s-normal spaces, Indian J. Pure. App. Math., 21 (8) (1990) 717-719.
  • Benchalli S.S. and Bansali P.M., gb-Compactness and gb-Connectedness, 10 (2011) 465-475.
  • Caldas M, Jafari S. Noiri, T. and Simoes, M., A new generalization of contra- continuity via Levine’s g-closed sets, Chaos, Solitons and Fractals, 32 (2007) 1597-1603.
  • Caldas M. and Jafari S., Some properties of contra β-continuous function. Mem. Fac Sci Kochi Univ: (Math), 22 (2001) 19-28.
  • Caldas M. and Jafari S., Weak and strong forms of β-irresoluteness. The Arabian Journal For Science and Engineering, 31 (2005) 1A.
  • Cao J., Ganster M. and Reilly I., On generalized closed set, Topology and App., 123 (2002) 37-46.
  • Cao J., Greenwood S. and Reilly I., Generalized closed sets: a unified approach, Applied Generalized Topology, 2 (2001) 179-189.
  • Di Maio G. and Noiri T., On s-closed spaces. Indian J Pure App Math Sci, 18/3 (1987) 226-33.
  • Dontchev J., Contra-continuous functions and strongly S-closed spaces. Int Math Math Sci, 19 (1996) 303-10.
  • Dontchev J. and Noiri T., Contra semi continuous functions. Math Pannonica, 10 (1999) 159-68.
  • Dontchev J. and Przemski M., On the various decompositions of continuous and some weakly continuous functions. Acta Math Hungar, 71 (1-2) (1996) 109-20.
  • El-Atik AA., A study of some types of mappings on topological spaces. M. Sci. thesis, Tanta Univ., Egypt, 1997.
  • Ganster M. and Reilly I., Locally closed sets and LC-continuous functions. Int Math Math Sci, 3 (1989) 417-24.
  • Ganster M. and Steiner M., On bτ -closed sets.App Gen Topol., 2 (8) (2007) 243- 247.
  • Jafari S. and Noiri T., Contra super-continuous functions. Annales Univ Sci Budapest, 42 (1999) 27-34.
  • Jafari S. and Noiri T., Contra α-continuous functions between topological spaces, Iranian Int. J. Sci., 2 (2) (2001) 153-167
  • Levine N., Semi-open sets and semi-continuity in topological spaces. Amer Math Monthly, 70 (1963) 36-41.
  • Maki H., Generalized Λ-sets and the associated closure operator. The Special Issue in Commemoration of Prof. Kazusada IKEDA’s Retirement: 1 October (1986) 139-46.
  • Maki, H., Devi, R. and Balachandran, K., Associated topologies of generalized α-closed sets and α-generalized sets, Men Fac. Sci. Kochi Univ. Ser. A, Math., 15 (1994) 51-63.
  • Maki, H., Umehara, J. and Noiri, T., Every topology space is pre-T, Men. Fac. 2 Sci. Kochi Univ. Ser. A, Math., 17 (1996) 33-42.
  • Mashhour AS, Abd El-monsef ME. and El-Deeb SN., On precontinuous and weak precontinuous mappings. Proc Math Phys Soc Egypt, 53 (1982) 7-53.
  • Mrsevic M., On pairwise R0and pairwise R1bitopological spaces. Bull Math Soc Sci Math RS Roumanie, 30 (78) (1986) 141-8.
  • Nasef AA., Some properties of contra γ-continuous functions. Chaos, Solitons and Fractals, 24 (2005) 471-477.
  • Njastad O., On some classes of nearly open sets. Pacific J Math., 15 (1965) 961-70.
  • Staum R., The algebra of bounded continuous functions into a nonarchimedean field. Pacific J Math, 50 (1974) 169-85.
  • Willard S., General topology, Addison Wesley, 1970.

Some Properties of Contra gb-continuous Functions

Year 2012, Volume: 1 Issue: 1, 40 - 49, 01.01.2012

Abstract

We introduce some properties of functions called contra gb-continuous function which is a generalization of contra b-continuous functions [3]. Somecharacterizations and several properties concerning contra gb− continuousfunctions are obtained

References

  • Abd El-Monsef ME., El-Deed SN and Mahmoud RA., β-open sets and β-continuous mappings. Bull Fac Sci: Assiut Univ.,12 (1983) 77-90.
  • Abd El-Monsef ME. and Nasef AA., On multifunctions, Chaos, Solitons & Fractals, 12:23 (2001) 87-94.
  • Al-Omari A. and Noorani SMd., Decomposition of continuity via b−open set, Bol. Soc. Paran. Mat., 26 (1-2) (2008) 53-64.
  • Al-Omari A. and Noorani SMd., Some properties of contra b−continuous and al- most contra b−continuous functions, European J. of Pure and App. Math., 2 (2009) 213-30.
  • Al-Omari A. and Noorani SMd., On generalized b-closed sets. Bull Malays Math Sci Soc., (2) 32 (1) (2009) 19-30.
  • Andrijevic D., Semi-preopen sets. Mat Vesnik, 38 (1) (1986) 24-32.
  • Andrijevic D., On b-open sets. Mat. Vesnik, 48 (1996) 59-64.
  • Arya, S.P. and Noiri, T., Characterizations of s-normal spaces, Indian J. Pure. App. Math., 21 (8) (1990) 717-719.
  • Benchalli S.S. and Bansali P.M., gb-Compactness and gb-Connectedness, 10 (2011) 465-475.
  • Caldas M, Jafari S. Noiri, T. and Simoes, M., A new generalization of contra- continuity via Levine’s g-closed sets, Chaos, Solitons and Fractals, 32 (2007) 1597-1603.
  • Caldas M. and Jafari S., Some properties of contra β-continuous function. Mem. Fac Sci Kochi Univ: (Math), 22 (2001) 19-28.
  • Caldas M. and Jafari S., Weak and strong forms of β-irresoluteness. The Arabian Journal For Science and Engineering, 31 (2005) 1A.
  • Cao J., Ganster M. and Reilly I., On generalized closed set, Topology and App., 123 (2002) 37-46.
  • Cao J., Greenwood S. and Reilly I., Generalized closed sets: a unified approach, Applied Generalized Topology, 2 (2001) 179-189.
  • Di Maio G. and Noiri T., On s-closed spaces. Indian J Pure App Math Sci, 18/3 (1987) 226-33.
  • Dontchev J., Contra-continuous functions and strongly S-closed spaces. Int Math Math Sci, 19 (1996) 303-10.
  • Dontchev J. and Noiri T., Contra semi continuous functions. Math Pannonica, 10 (1999) 159-68.
  • Dontchev J. and Przemski M., On the various decompositions of continuous and some weakly continuous functions. Acta Math Hungar, 71 (1-2) (1996) 109-20.
  • El-Atik AA., A study of some types of mappings on topological spaces. M. Sci. thesis, Tanta Univ., Egypt, 1997.
  • Ganster M. and Reilly I., Locally closed sets and LC-continuous functions. Int Math Math Sci, 3 (1989) 417-24.
  • Ganster M. and Steiner M., On bτ -closed sets.App Gen Topol., 2 (8) (2007) 243- 247.
  • Jafari S. and Noiri T., Contra super-continuous functions. Annales Univ Sci Budapest, 42 (1999) 27-34.
  • Jafari S. and Noiri T., Contra α-continuous functions between topological spaces, Iranian Int. J. Sci., 2 (2) (2001) 153-167
  • Levine N., Semi-open sets and semi-continuity in topological spaces. Amer Math Monthly, 70 (1963) 36-41.
  • Maki H., Generalized Λ-sets and the associated closure operator. The Special Issue in Commemoration of Prof. Kazusada IKEDA’s Retirement: 1 October (1986) 139-46.
  • Maki, H., Devi, R. and Balachandran, K., Associated topologies of generalized α-closed sets and α-generalized sets, Men Fac. Sci. Kochi Univ. Ser. A, Math., 15 (1994) 51-63.
  • Maki, H., Umehara, J. and Noiri, T., Every topology space is pre-T, Men. Fac. 2 Sci. Kochi Univ. Ser. A, Math., 17 (1996) 33-42.
  • Mashhour AS, Abd El-monsef ME. and El-Deeb SN., On precontinuous and weak precontinuous mappings. Proc Math Phys Soc Egypt, 53 (1982) 7-53.
  • Mrsevic M., On pairwise R0and pairwise R1bitopological spaces. Bull Math Soc Sci Math RS Roumanie, 30 (78) (1986) 141-8.
  • Nasef AA., Some properties of contra γ-continuous functions. Chaos, Solitons and Fractals, 24 (2005) 471-477.
  • Njastad O., On some classes of nearly open sets. Pacific J Math., 15 (1965) 961-70.
  • Staum R., The algebra of bounded continuous functions into a nonarchimedean field. Pacific J Math, 50 (1974) 169-85.
  • Willard S., General topology, Addison Wesley, 1970.
There are 33 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Metin Akdag This is me

Alkan Ozkan This is me

Publication Date January 1, 2012
Published in Issue Year 2012 Volume: 1 Issue: 1

Cite

APA Akdag, M., & Ozkan, A. (2012). Some Properties of Contra gb-continuous Functions. Journal of New Results in Science, 1(1), 40-49.
AMA Akdag M, Ozkan A. Some Properties of Contra gb-continuous Functions. JNRS. January 2012;1(1):40-49.
Chicago Akdag, Metin, and Alkan Ozkan. “Some Properties of Contra Gb-Continuous Functions”. Journal of New Results in Science 1, no. 1 (January 2012): 40-49.
EndNote Akdag M, Ozkan A (January 1, 2012) Some Properties of Contra gb-continuous Functions. Journal of New Results in Science 1 1 40–49.
IEEE M. Akdag and A. Ozkan, “Some Properties of Contra gb-continuous Functions”, JNRS, vol. 1, no. 1, pp. 40–49, 2012.
ISNAD Akdag, Metin - Ozkan, Alkan. “Some Properties of Contra Gb-Continuous Functions”. Journal of New Results in Science 1/1 (January 2012), 40-49.
JAMA Akdag M, Ozkan A. Some Properties of Contra gb-continuous Functions. JNRS. 2012;1:40–49.
MLA Akdag, Metin and Alkan Ozkan. “Some Properties of Contra Gb-Continuous Functions”. Journal of New Results in Science, vol. 1, no. 1, 2012, pp. 40-49.
Vancouver Akdag M, Ozkan A. Some Properties of Contra gb-continuous Functions. JNRS. 2012;1(1):40-9.


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