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On locally closedness and continuity

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  • Ekici, Erdal

Abstract

The aim of this paper is to introduce new classes of sets called δ-semi-generalized closed sets, locally δ-semi-generalized closed, lδsgc∗-sets, lδsgc∗∗-sets. Also, we introduce several forms of LδSGC-continuous functions. We discuss their properties and several examples are provided to illustrate the behaviour of these new types of sets and functions.

Suggested Citation

  • Ekici, Erdal, 2008. "On locally closedness and continuity," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1244-1255.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:5:p:1244-1255
    DOI: 10.1016/j.chaos.2006.07.043
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.

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