A Unified Theory for Particular Types of Faintly Continuous Multifunctions

Abdelfattah Abdalla Azzam; Arafa A. Nasef; Radwan Abu-Gdairi; Mohammed Saud Aldawood

doi:10.5391/IJFIS.2024.24.3.280

A Unified Theory for Particular Types of Faintly Continuous Multifunctions

Abdelfattah Abdalla Azzam, Arafa A. Nasef, Radwan Abu-Gdairi, Mohammed Saud Aldawood

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this study, we explore the notion of upper/lower supra-continuous multifunctions. It is believed that these multifunctions represent a generalization of certain weak continuous multifunctions. We demonstrate several essential characteristics of these novel types of multifunctions. The connections between supra-continuous multifunctions and supra-closed graphs are further discussed.

Original language	English
Pages (from-to)	280-286
Number of pages	7
Journal	International Journal of Fuzzy Logic and Intelligent Systems
Volume	24
Issue number	3
DOIs	https://doi.org/10.5391/IJFIS.2024.24.3.280
State	Published - Sep 2024

Keywords

Punctually supra-regular multifunction
Supra-closed graph
Supra-compact space
Supra-regular set
Upper/lower supra-continuous

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10.5391/IJFIS.2024.24.3.280

Cite this

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abstract = "In this study, we explore the notion of upper/lower supra-continuous multifunctions. It is believed that these multifunctions represent a generalization of certain weak continuous multifunctions. We demonstrate several essential characteristics of these novel types of multifunctions. The connections between supra-continuous multifunctions and supra-closed graphs are further discussed.",

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AU - Aldawood, Mohammed Saud

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KW - Supra-closed graph

KW - Supra-compact space

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A Unified Theory for Particular Types of Faintly Continuous Multifunctions

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