Almost Continuity for Multifunctions Defined from an Ideal Topological Space into a Bitopological Space

Authors

  • Chokchai Viriyapong 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.v18i3.6566

Keywords:

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

Abstract

This paper presents new concepts of continuous multifunctions defined between an ideal topological
space and a bitopological space, namely upper almost $\tau^\star(\sigma_1,\sigma_2)$-continuous
multifunctions and lower almost $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions. Moreover,
several characterizations and some properties concerning upper almost $\tau^\star(\sigma_1,\sigma_2)$-continuous
multifunctions and lower almost $\tau^\star(\sigma_1,\sigma_2)$-continuous multifunctions are considered.
Furthermore, the relationships between $\tau^\star(\sigma_1,\sigma_2)$-continuity and almost
$\tau^\star(\sigma_1,\sigma_2)$-continuity are discussed.

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Chokchai Viriyapong, Areeyuth Sama-Ae, Chawalit Boonpok

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How to Cite

Almost Continuity for Multifunctions Defined from an Ideal Topological Space into a Bitopological Space. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6566. https://doi.org/10.29020/nybg.ejpam.v18i3.6566