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Decompositions of continuity, α-continuity and AB-continuity

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  • Ekici, Erdal
  • Noiri, Takashi

Abstract

The aim of this paper is to introduce the classes of αAB-sets, AC-sets and BC-sets which are weaker forms of AB-sets, AB-sets, B-sets and AC-sets, respectively. The relationships of between αAB-sets and the related sets and between AC-sets and BC-sets are discussed. By using αAB-sets, AC-sets, BC-sets and the related sets, new decompositions of αAB-continuity, α-continuity, continuity and AB-continuity are provided.

Suggested Citation

  • Ekici, Erdal & Noiri, Takashi, 2009. "Decompositions of continuity, α-continuity and AB-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2055-2061.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2055-2061
    DOI: 10.1016/j.chaos.2008.08.007
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    References listed on IDEAS

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