Almost Quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous and Weakly Quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous Functions

Authors

  • Butsakorn Kong-ied Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand
  • Areeyuth Sama-Ae Department of Mathematics and Computer Science, Faculty of Science and Technology, Prince of Songkla University, Pattani Campus, Pattani, 94000, Thailand
  • Chawalit Boonpok Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6572

Keywords:

almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous function;, weakly quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous function

Abstract

This paper introduces two classes of continuous functions defined between an ideal topological space
and a bitopological space, called almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous functions
and weakly quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous functions. Furthermore, several characterizations
and some properties concerning almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous functions and
weakly quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous functions are investigated. Moreover, the
relationships between almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuity and weak quasi $\tau^\star(\sigma_1,\sigma_2)$-continuity
are considered.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Butsakorn Kong-ied, Areeyuth Sama-Ae, Chawalit Boonpok

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How to Cite

Almost Quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous and Weakly Quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous Functions. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6572. https://doi.org/10.29020/nybg.ejpam.v18i3.6572