Jamal Oudetallah
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View article: Properties and Applications of Generalized Numerical Radius in Block Matrix Structures
Properties and Applications of Generalized Numerical Radius in Block Matrix Structures Open
In this paper, we prove several results that generalize fundamental properties of numerical radius and generalized numerical radius. Among our proven inequalities, we establish theorems for matrices A ∈ Mm(Mn), where Mm(Mn) represents the …
View article: \(\alpha_\sigma\)-Sets: A Novel Framework for Generalized Topological Structures with Applications in Digital Topology
\(\alpha_\sigma\)-Sets: A Novel Framework for Generalized Topological Structures with Applications in Digital Topology Open
This paper introduces ασ-sets as a new class of generalized topological structures that extend α-open sets to countable unions with controlled boundary behavior. We prove these structures form a σ-algebra under union operations and exhibit…
View article: Short Note of Linguistic SuperHypersoft Set
Short Note of Linguistic SuperHypersoft Set Open
Soft sets provide a mathematical framework for decision-making by associating parameters with subsets of a universal set, effectively managing uncertainty and imprecision [6, 7]. Over time, various extensions of soft sets, including Hypers…
View article: Tri-Expandability and Product Spaces in Tri-Topological Spaces
Tri-Expandability and Product Spaces in Tri-Topological Spaces Open
In this paper, we introduce and investigate the notion of tri-expandability in tri-topological spaces as a natural generalization of expandability in classical topological spaces. We establish fundamental characterizations of tri-expandabl…
View article: Separation Axioms Beyond T2: Novel Properties and Interactions in Non-Regular Spaces
Separation Axioms Beyond T2: Novel Properties and Interactions in Non-Regular Spaces Open
This paper investigates separation axioms that are weaker than the classical Hausdorff condition, examining their relationships in non-regular topological spaces. We focus on spaces that exhibit structural properties characteristic of high…
View article: On Nearly α-Compact Topological Spaces
On Nearly α-Compact Topological Spaces Open
In this paper, we introduce and investigate the concept of nearly α-compact topological spaces as a natural generalization of α-compact and countably α-compact spaces. We establish fundamental properties and characterizations of nearly α-c…
View article: G-Compact Spaces Characterized by the Intersection of Countable Neighborhoods
G-Compact Spaces Characterized by the Intersection of Countable Neighborhoods Open
In this research, we introduce and analyze the concepts of \(G\)-compactness, \(G\)-Lindel$\ddot{o}$fness, and \(G\)-countably compactness within the framework of topological spaces, which are characterized by more rigorous conditions comp…
View article: Novel Results on D-Soft Compact Spaces
Novel Results on D-Soft Compact Spaces Open
This paper introduces and investigates D-soft compact spaces, a novel generalization of compactness in soft topological spaces using D-soft covers. We establish fundamental properties, characterizations, and relationships between D-soft co…
View article: Some Refinements for Numerical Radius Inequalities of Operators
Some Refinements for Numerical Radius Inequalities of Operators Open
Several recent papers gave numerical radius inequalities for sums and products of operators which are defined on a complex separable Hilbert space H. In this paper, we prove a numerical radius inequality which generalizes and refines a rec…
View article: Nearly Lindelöfness in \(N^{th}\)-Topological Spaces
Nearly Lindelöfness in \(N^{th}\)-Topological Spaces Open
The concepts of approximately Nth-Lindelöf spaces, introduced in [15] and [16], represent weaker forms of single Lindelöf spaces and have since attracted significant attention. In this paper, we revisit these spaces through the lens of a p…
View article: Some Types of Tri-Lindelöfness Spaces
Some Types of Tri-Lindelöfness Spaces Open
In this study, the Lindelöf property of spaces will be examined across three topologies, referred to as tri-Lindelöf spaces. Furthermore, the characteristics of these spaces will be analyzed in relation to Lindelöf spaces. Several theoreti…
View article: $\sigma$-compact Spaces in N$^{th}$-Topological Space
$\sigma$-compact Spaces in N$^{th}$-Topological Space Open
The principal aims of this paper include the introduction of the concept of $\sigma$-compact Spaces in $n^{th}$-topological spaces, the definition of compactness, discussion of various generalizations encompassing compactness in $n^{th}$-t…
View article: Some Types of Tri-Locally Compactness Spaces
Some Types of Tri-Locally Compactness Spaces Open
In this study, the locally compactness spaces property will be investigated for three topologies, known as tri-locally compact spaces. Additionally, the features of these spaces will be investigated in terms of locally compact spaces. Many…
View article: On tri-topological spaces and their relations
On tri-topological spaces and their relations Open
View article: NEARLY LINDELÖFNESS IN BITOPOLOGICAL SPACES
NEARLY LINDELÖFNESS IN BITOPOLOGICAL SPACES Open
The concept of nearly pairwise Lindelöf spaces, a well-known weaker form of Lindelöf spaces, was introduced by Katetov and L. Krajewski in [11, 12] and has since been extensively explored by numerous researchers. This paper investigates th…
View article: Novel Results on Nigh Lindelöfness in Topological Spaces
Novel Results on Nigh Lindelöfness in Topological Spaces Open
The main objective of this research paper is to introduce the concept of nigh Lindelöfness in topological spaces and nigh topological spaces. This has led us to establish several generalizations and properties of nigh Lindelöf space that a…
View article: DC Motor Speed Control via FoPID-Controllers
DC Motor Speed Control via FoPID-Controllers Open
View article: On c-Compactness in Topological and Bitopological Spaces
On c-Compactness in Topological and Bitopological Spaces Open
The primary goal of this research is to initiate the pairwise c-compact concept in topological and bitopological spaces. This would make us to define the concept of c-compact space with some of its generalization, and present some necessar…
View article: Nigh-Open Sets in Topological Space
Nigh-Open Sets in Topological Space Open
In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with t…
View article: ON METACOMPACTNESS IN TOPOLOGICAL SPACES
ON METACOMPACTNESS IN TOPOLOGICAL SPACES Open
In this work, we intend to study metacompact spaces and locally metacompact spaces,and study their properties and their relations with order topological spaces.Several examples are discussed and many wellknown theorems are generalized conc…
View article: ON METACOMPACTNESS IN TOPOLOGICAL SPACES
ON METACOMPACTNESS IN TOPOLOGICAL SPACES Open
In this work, we intend to study metacompact spaces and locally metacompact spaces,and study their properties and their relations with order topological spaces.Several examples are discussed and many wellknown theorems are generalized conc…
View article: On r-Compactness in Topological and Bitopological Spaces
On r-Compactness in Topological and Bitopological Spaces Open
This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are s…
View article: Mappings and Finite Product of Pairwise Expandable Spaces
Mappings and Finite Product of Pairwise Expandable Spaces Open
In this work, we intend to study certain mappings in bitopological spaces such as pairwise perfect and pairwise countably perfect mappings that possess the property (E). Some properties of such mappings are provided which have helped us to…
View article: Countably and Locally Compactness in Bitopological Spaces
Countably and Locally Compactness in Bitopological Spaces Open
The main objectives of this paper are to introduce the concept of pairwise countably compact in bitopological space,and we introduce some generalization of pairwise countably compact in bitopological spaces, and some of their properties, a…
View article: h-CONVEXITY IN METRIC LINEAR SPACES
h-CONVEXITY IN METRIC LINEAR SPACES Open
This paper is devoted to study a new types of convex metric linear spaces .The types of convexity considered here are a strictly h-convex, a uniformly h-convex and a locally uniformly h-convex metric linear spaces.