On Weak Forms of Upper and Lower Continuous Multifunctions between an Ideal Topological Space and a Bitopological Space

Authors

  • Prapart Pue-on Mathematics and Applied Mathematics Research Unit, Department of Mathematics, 7 Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand
  • Areeyuth Sama-Ae Department of Mathematics and Computer Science, Faculty of Science and Technology, 9 Prince of Songkla University, Pattani Campus, Pattani, 94000, Thailand
  • Chawalit Boonpok Mathematics and Applied Mathematics Research Unit, Department of Mathematics, 7 Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i3.6567

Keywords:

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

Abstract

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

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Published

2025-08-01

Issue

Vol. 18 No. 3: (July 2025)

Section

Topology

License

Copyright (c) 2025 Prapart Pue-on, Areeyuth Sama-Ae, Chawalit Boonpok

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How to Cite

On Weak Forms of Upper and Lower Continuous Multifunctions between an Ideal Topological Space and a Bitopological Space. (2025). European Journal of Pure and Applied Mathematics, 18(3), 6567. https://doi.org/10.29020/nybg.ejpam.v18i3.6567