A Unified Theory for Particular Types of Faintly Continuous Multifunctions

Abdel Fatah A. 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

Abdel Fatah A. 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.",

keywords = "Punctually supra-regular multifunction, Supra-closed graph, Supra-compact space, Supra-regular set, Upper/lower supra-continuous",

author = "Azzam, \{Abdel Fatah A.\} and Nasef, \{Arafa A.\} and Radwan Abu-Gdairi and Aldawood, \{Mohammed Saud\}",

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AU - Azzam, Abdel Fatah A.

AU - Nasef, Arafa A.

AU - Abu-Gdairi, Radwan

AU - Aldawood, Mohammed Saud

PY - 2024/9

Y1 - 2024/9

N2 - 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.

AB - 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.

KW - Punctually supra-regular multifunction

KW - Supra-closed graph

KW - Supra-compact space

KW - Supra-regular set

KW - Upper/lower supra-continuous

UR - https://www.scopus.com/pages/publications/85206336020

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DO - 10.5391/IJFIS.2024.24.3.280

M3 - Article

AN - SCOPUS:85206336020

SN - 1598-2645

VL - 24

SP - 280

EP - 286

JO - International Journal of Fuzzy Logic and Intelligent Systems

JF - International Journal of Fuzzy Logic and Intelligent Systems

IS - 3

ER -

A Unified Theory for Particular Types of Faintly Continuous Multifunctions

Abstract

Keywords

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