Generalization of weakly clopen and strongly theta-b-continuous functions

Ekici E.

CHAOS SOLITONS & FRACTALS, cilt.38, sa.1, ss.79-88, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.chaos.2008.01.012
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.79-88
  • Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new class of functions called weakly BR-continuous function including the classes of strongly theta-b-continuous functions due to Park [Park JH. Strongly theta-b-continuous functions. Acta Math Hungar 2006; 110(4):347-59] and weakly clopen functions due to Son et al. [Son MJ, Park JH, Lim KM. Weakly clopen functions. Chaos, Solitons & Fractals 2007;33:1746-55]. Characterizations and properties of the class of weakly BR-continuous functions are investigated. Moreover, the relationships among weakly BR-continuous functions, strongly theta-b-continuous functions, weakly clopen functions and the related functions are investigated. (c) 2008 Elsevier Ltd. All rights reserved.