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September 10, 2025Open Access

Almost Weak Continuity for Multifunctions Defined between an Ideal Topological Space and a Bitopological Space

CVChokchai ViriyapongMahasarakham University ASAreeyuth Sama-AeMahasarakham University CBChawalit BoonpokMahasarakham University

Key Points

New concepts of upper and lower almost weakly continuous multifunctions highlight important topological properties.
Characterizations of upper almost weakly continuous multifunctions provide innovative insights into topology.
Properties of lower almost weakly continuous multifunctions expand understanding in the field of mathematics.
Presented concepts bridge gaps between ideal topological spaces and bitopological spaces, with potential applications.

Abstract

This paper presents new concepts of continuous multifunctions, called upper almost weakly ^ (₁, ₂) -continuous multifunctions and lower almost weakly ^ (₁, ₂) -continuous multifunctions. Moreover, several characterizations and some properties concerning upper almost weakly ^ (₁, ₂) -continuous multifunctions and lower almost weakly ^ (₁, ₂) -continuous multifunctions are considered.

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