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A new generalization of contra-continuity via Levine’s g-closed sets

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  • Caldas, Miguel
  • Jafari, Saeid
  • Noiri, Takashi
  • Simões, Marilda

Abstract

In [Dontchev J. Contra-continuous functions and strongly S-closed spaces. Int J Math Math Sci 1996;19:303–10], Dontchev introduced and investigated a new notion of continuity called contra-continuity. Recently, Jafari and Noiri [Jafari S, Noiri T. Contra-α-continuous functions between topological spaces. Iran Int J Sci 2001;2:153–67, Jafari S, Noiri T. Contra-super-continuous functions. Ann Univ Sci Budapest 1999;42:27–34, Jafari S, Noiri T. On contra-precontinuous functions. Bull Malaysian Math Sci Soc 2002;25(2):115–28] introduced new generalizations of contra-continuity called contra-α-continuity, contra-super-continuity and contra-precontinuity. In this paper, we introduce and investigate a generalization of contra-continuity by utilizing Levine’s generalized closed sets.

Suggested Citation

  • Caldas, Miguel & Jafari, Saeid & Noiri, Takashi & Simões, Marilda, 2007. "A new generalization of contra-continuity via Levine’s g-closed sets," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1597-1603.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:4:p:1597-1603
    DOI: 10.1016/j.chaos.2005.12.032
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    References listed on IDEAS

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    1. J. Dontchev, 1996. "Contra-continuous functions and strongly S -closed spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 19, pages 1-8, January.
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    Cited by:

    1. Ekici, Erdal, 2008. "Generalization of weakly clopen and strongly θ-b-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 79-88.
    2. Hatir, E. & Noiri, T., 2009. "On δ–β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 205-211.
    3. Keskin, Aynur & Noiri, Takashi, 2009. "Almost contra-g-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 238-246.
    4. Ekici, Erdal, 2009. "A note on almost β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1010-1013.

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