Abdullah Assiry
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Unified Fixed-Point Theorems for Generalized p-Reich and p-Sehgal Contractions in Complete Metric Spaces with Application to Fractal and Fractional Systems Open
This paper introduces new generalized forms of contractive mappings in the framework of complete metric spaces. By extending the classical Reich and Sehgal contractions to their iterated counterparts in Singh’s sense, we establish unified …
On the Unsolvability of the Exponential Diophantine Equation \( 23^x + 22^y = z^2 \) in Nonnegative Integers Open
We prove that the exponential Diophantine equation \( 23^x + 22^y = z^2 \) has no nonnegative integer solutions. Using a combination of modular arithmetic, parity analysis, and computational verification, we demonstrate that the equation l…
Some Irreducible Polynomials Over a Finite Field Open
The irreducibility of a polynomial over a finite field refers to whether the polynomial, with coefficients in that field, cannot be factored into nontrivial polynomials. It is surprising to discover that there exist very efficient but stil…
View article: A Solution to the Non-Cooperative Equilibrium Problem for Two and Three Players Using the Fixed-Point Technique
A Solution to the Non-Cooperative Equilibrium Problem for Two and Three Players Using the Fixed-Point Technique Open
The aims of this paper are (a) to introduce the concept of the 0-complete m-metric spaces, (b) to obtain the results for mw-Caristi mapping using Kirk’s approach, (c) to investigate the problem of non-cooperative equilibrium (abbreviated a…
Recent advancements in $ M $-cone metric space over Banach algebra endowed with binary relation Open
The objectives of this paper are three steps: first, to generalize the idea of complete $ M $-cone metric spaces over Banach algebra; second, to present a new topological structure utilizing the concept introduced by Fernandez et al. (Fixe…
Unveiling Janous's Conjecture: Calculus, Algebraic, and Computational Approaches Open
We give a proof of Janous's conjecture: 2 < \frac{\sin A}{A} + \frac{\sin B}{B} + \frac{\sin C}{C} \leq \frac{9\sqrt{3}}{2\pi}, where A, B, C > 0 and A + B + C = \pi which combines integral calculus, geometric optimization, symmetry argume…
S-Embedding of Lie Superalgebras and Its Implications for Fuzzy Lie Algebras Open
This paper performed an investigation into the s-embedding of the Lie superalgebra (→S1∣1), a representation of smooth vector fields on a (1,1)-dimensional super-circle. Our primary objective was to establish a precise definition of the s-…
Algebraic Structure Graphs over the Commutative Ring Zm: Exploring Topological Indices and Entropies Using M-Polynomials Open
The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with …
Exploring Roughness in Left Almost Semigroups and Its Connections to Fuzzy Lie Algebras Open
This paper explores the concept of Generalized Roughness in LA-Semigroups and its applications in various mathematical disciplines. We highlight the fundamental properties and structures of Generalized Roughness, examining its relationship…
Hybrid Nil Radical of a Ring Open
The nature of universe problems is ambiguous due to the presence of asymmetric data in almost all disciplines, including engineering, mathematics, medical sciences, physics, computer science, operations research, artificial intelligence, a…
Generalizations of Fuzzy q‐Ideals of <i>BCI</i>‐Algebras Open
In this paper, we introduce the notion of (∈, ∈∨( κ ∗ , q κ ))‐fuzzy q ‐ideals of BCI ‐algebras to propose a more general form of fuzzy q ‐ideals of BCI ‐algebras. We prove that (∈, ∈∨ q )‐fuzzy q ‐ideals and (∈∨( κ ∗ , q κ ), ∈∨( κ ∗ , q …