Almost Quasi Continuity and Weak Quasi Continuity for Multifunctions Between an Ideal Topological Space and a Bitopological Space

Authors

  • Montri Thongmoon 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.v18i3.6571

Keywords:

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

Abstract

This paper introduces four classes of continuous multifunctions defined from an ideal topological
space into a bitopological space, namely upper almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous
multifunctions, lower almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions, upper
weakly quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions and lower weakly
quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions. Moreover, several characterizations of
upper almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions,
lower almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions, upper weakly
quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions and
lower weakly quasi $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions are established. Furthermore,
the relationships between almost quasi $\tau^\star(\sigma_1,\sigma_2)$-continuity and weak quasi
$\tau^\star(\sigma_1,\sigma_2)$-continuity are discussed.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Montri Thongmoon, Areeyuth Sama-Ae, Chawalit Boonpok

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How to Cite

Almost Quasi Continuity and Weak Quasi Continuity for Multifunctions Between an Ideal Topological Space and a Bitopological Space. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6571. https://doi.org/10.29020/nybg.ejpam.v18i3.6571