Pairwise ωβ-continuous functions

Heyam Hussein Aljarrah, Mohd. Salmi Md. Noorani, Takashi Noiri

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A subset A of a bitopological space (X, τ1, τ2) is said to be ij-ωβ-open if for every x ∈ A there exists an ij-β-open set U containing x such that U-A is countable. In this paper, we introduce and study a new class of functions called pairwise ωβ-continuous functions by using the notion of ij-ωβ-open sets, and we give some characterizations of pairwise ωβ-continuous functions. Also pairwise ωβ-connectedness and pairwise ωβ-set connected functions are introduced in bitopological spaces and some of their properties are established.

Original languageEnglish
Pages (from-to)577-586
Number of pages10
JournalBulletin of the Malaysian Mathematical Sciences Society
Volume36
Issue number3
Publication statusPublished - 2013

Fingerprint

Pairwise
Continuous Function
Bitopological Space
Open set
Connected Set
Connectedness
Countable
Subset

Keywords

  • ij-ωβO
  • Pairwise ωβ-connected
  • Pairwise ωβ-continuous
  • Pairwise ωβ-set connected functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Pairwise ωβ-continuous functions. / Aljarrah, Heyam Hussein; Md. Noorani, Mohd. Salmi; Noiri, Takashi.

In: Bulletin of the Malaysian Mathematical Sciences Society, Vol. 36, No. 3, 2013, p. 577-586.

Research output: Contribution to journalArticle

Aljarrah, Heyam Hussein ; Md. Noorani, Mohd. Salmi ; Noiri, Takashi. / Pairwise ωβ-continuous functions. In: Bulletin of the Malaysian Mathematical Sciences Society. 2013 ; Vol. 36, No. 3. pp. 577-586.
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