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September 10, 2025Open Access

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

PPPrapart Pue-onMahasarakham University ASAreeyuth Sama-AeMahasarakham University CBChawalit BoonpokMahasarakham University

Key Points

Newly defined upper weakly continuous multifunctions exhibit distinct properties in bitopological spaces.
Characterizations of lower weakly continuous multifunctions are presented, establishing their significance.
Relationships between various forms of continuity provide insight into their interdependencies.
These findings contribute to the theoretical understanding of multifunctions in advanced topological contexts.

Abstract

This paper presents new concepts of continuous multifunctions defined from an ideal topological space into a bitopological space, called upper weakly ^ (₁, ₂) -continuous multifunctions and lower weakly ^ (₁, ₂) -continuous multifunctions. Furthermore, several characterizations and some properties concerning upper weakly ^ (₁, ₂) -continuous multifunctions and lower weakly ^ (₁, ₂) -continuous multifunctions are investigated. Moreover, the relationships between almost ^ (₁, ₂) -continuity andweak ^ (₁, ₂) -continuity are established.

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