### Abstract

A subset A of a bitopological space (X, τ_{1}, τ_{2}) 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 language | English |
---|---|

Pages (from-to) | 577-586 |

Number of pages | 10 |

Journal | Bulletin of the Malaysian Mathematical Sciences Society |

Volume | 36 |

Issue number | 3 |

Publication status | Published - 2013 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Bulletin of the Malaysian Mathematical Sciences Society*,

*36*(3), 577-586.

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

Research output: Contribution to journal › Article

*Bulletin of the Malaysian Mathematical Sciences Society*, vol. 36, no. 3, pp. 577-586.

}

TY - JOUR

T1 - Pairwise ωβ-continuous functions

AU - Aljarrah, Heyam Hussein

AU - Md. Noorani, Mohd. Salmi

AU - Noiri, Takashi

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - ij-ωβO

KW - Pairwise ωβ-connected

KW - Pairwise ωβ-continuous

KW - Pairwise ωβ-set connected functions

UR - http://www.scopus.com/inward/record.url?scp=84880104627&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880104627&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84880104627

VL - 36

SP - 577

EP - 586

JO - Bulletin of the Malaysian Mathematical Sciences Society

JF - Bulletin of the Malaysian Mathematical Sciences Society

SN - 0126-6705

IS - 3

ER -