(i, j)-Ï‰-semiopen sets and (i, j)-Ï‰-semicontinuity in bitopological spaces

Ennis Rosas; Carlos Carpintero; Sabir Hussain

doi:10.4067/S0719-06462015000300003

Authors

Ennis Rosas Department of Mathematics, Universidad De Oriente, Nucleo De Sucre Cumana, Venezuela. Facultad de Ciencias Basicas, Universidad del Atlantico, Barranquilla, Colombia.
Carlos Carpintero Department of Mathematics, Universidad De Oriente, Nucleo De Sucre Cumana, Venezuela. Facultad de Ciencias Básicas, Universidad del Atlántico, Barranquilla, Colombia.
Sabir Hussain Department of Mathematics, College of Science, Qassim University, P.O.BOX 6644, Buraydah 51482, Saudi Arabia.

DOI:

https://doi.org/10.4067/S0719-06462015000300003

Keywords:

Bitopological spaces, (i, j)-Ï‰-semiopen sets, (i, j)-Ï‰-semiclosed sets

Abstract

The aim of this paper is to introduce and characterize the notions of (i, j)-Ï‰-semiopen sets as a generalization of (i, j)-semiopen sets in bitopological spaces. We also define and discuss the properties of (i, j)-Ï‰-semicontinuous functions.