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Decompositions of new classes of functions

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  • Açikgöz, Ahu
  • Yüksel, Şaziye

Abstract

In this paper, αIN5-sets, SIN5 -sets, PIN5-sets, βIN5-sets are introduced via idealization. Using these sets, new classes of generalizations of non-continuous functions are obtained and some of their properties are given. Also, decompositions of strongly α−I-continuity, strongly α-pre-I-irresoluteness, I-irresoluteness and strongly semi-β−I-irresoluteness are established.

Suggested Citation

  • Açikgöz, Ahu & Yüksel, Şaziye, 2009. "Decompositions of new classes of functions," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 408-413.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:408-413
    DOI: 10.1016/j.chaos.2007.07.077
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    References listed on IDEAS

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    1. Caldas, M. & Jafari, S. & Noiri, T. & Saraf, R.K., 2005. "Weak and strong forms of α-irresolute maps," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 223-228.
    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.
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