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Almost strongly θ-precontinuous functions

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  • Park, Jin Han
  • Bae, Sang Wook
  • Park, Yong Beom

Abstract

In this paper, we introduce a new class of functions called almost strongly θ-precontinuous function which is a generalization of almost strongly θ-continuous functions due to Noiri and Kang [Noiri T, Kang SM. On almost strongly θ-continuous functions. Indian J Pure Appl Math 1984;15(1):1–8] and strongly θ-precontinuous functions due to Noiri [Noiri T. Strongly θ-precontinuous functions. Acta Math Hung 2001;90(4):307–16]. Some characterizations and several properties concerning almost strongly θ-precontinuous functions are obtained. The relationships between almost strongly θ-precontinuity and other types of continuity are also given.

Suggested Citation

  • Park, Jin Han & Bae, Sang Wook & Park, Yong Beom, 2006. "Almost strongly θ-precontinuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 32-41.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:32-41
    DOI: 10.1016/j.chaos.2005.05.058
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    Cited by:

    1. Kocaman, A.H. & Yuksel, S. & Acikgoz, A., 2009. "On some strongly functions defined by α-open," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1346-1355.
    2. Zorlutuna, İdris, 2007. "A note on almost strongly θ-precontinuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1604-1609.
    3. Ekici, Erdal, 2008. "On (LC,s)-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 430-438.
    4. Ekici, Erdal, 2008. "Generalization of weakly clopen and strongly θ-b-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 79-88.
    5. Beceren, Yusuf & Noiri, Takashi, 2008. "Some functions defined by semi-open and β-open sets," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1225-1231.
    6. Ekici, Erdal, 2009. "A note on almost β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1010-1013.
    7. Beceren, Yusuf & Noiri, Takashi, 2008. "Some functions defined by α-open and preopen sets," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1097-1103.

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