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Almost contra-g-continuous functions

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  • Keskin, Aynur
  • Noiri, Takashi

Abstract

In this paper, we introduce and investigate the notion of almost contra-g-continuous functions which is weaker than both notions of contra-continuous functions [Dontchev J. Contra-continuous functions and strongly S-closed mappings. Int J Math Math Sci 1996;19:303–10] and (θ,s)-continuous functions [Joseph JK, Kwak MK. On S-closed spaces. Proc Am Math Soc 1980;80:341–8.] in topological spaces. We discuss the relationships with some other related functions. At the same time, we show that almost-g-continuity and (LC,s)-continuity are independent of each other.

Suggested Citation

  • Keskin, Aynur & Noiri, Takashi, 2009. "Almost contra-g-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 238-246.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:1:p:238-246
    DOI: 10.1016/j.chaos.2008.11.009
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    References listed on IDEAS

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    1. 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.
    2. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
    3. Ekici, Erdal, 2008. "On (LC,s)-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 430-438.
    4. M. Ganster & I. L. Reilly, 1989. "Locally closed sets and LC -continuous functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-8, January.
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