Mujahid Abbas
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View article: On a Novel Iterative Algorithm in CAT(0) Spaces with Qualitative Analysis and Applications
On a Novel Iterative Algorithm in CAT(0) Spaces with Qualitative Analysis and Applications Open
This study presents a novel and efficient iterative scheme in the setting of CAT(0) spaces and investigates the convergence properties for a generalized class of mappings satisfying the Garcia–Falset property using the proposed iterative s…
View article: Regularity and Qualitative Study of Parabolic Physical Ginzburg–Landau Equations in Variable Exponent Herz Spaces via Fractional Bessel–Riesz Operators
Regularity and Qualitative Study of Parabolic Physical Ginzburg–Landau Equations in Variable Exponent Herz Spaces via Fractional Bessel–Riesz Operators Open
In this article, we investigate the regularization and qualitative properties of parabolic Ginzburg–Landau equations in variable exponent Herz spaces. These spaces capture both local and global behavior, providing a natural framework for o…
View article: A NOVEL CLASSIFICATION OF FRACTALS VIA GENERALIZED (w,ℱ)-HUTCHINSON OPERATORS AND THEIR APPLICATIONS
A NOVEL CLASSIFICATION OF FRACTALS VIA GENERALIZED (w,ℱ)-HUTCHINSON OPERATORS AND THEIR APPLICATIONS Open
This paper explores a novel framework for generating fractals using generalized [Formula: see text]-Hutchinson operators, an extension of the classical [Formula: see text]-contraction mappings. By employing a finite group of these generali…
View article: Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs
Boundedness and Sobolev-Type Estimates for the Exponentially Damped Riesz Potential with Applications to the Regularity Theory of Elliptic PDEs Open
This paper investigates a new class of fractional integral operators, namely, the exponentially damped Riesz-type operators within the framework of variable exponent Lebesgue spaces Lp(·). To the best of our knowledge, the boundedness of s…
View article: Convergence and ω2-Stability Analysis of a Hybrid-Type Iterative Scheme with Application to Functional Delay Differential Equations
Convergence and ω2-Stability Analysis of a Hybrid-Type Iterative Scheme with Application to Functional Delay Differential Equations Open
The purpose of this article is to analyze a hybrid-type iterative algorithm for a class of generalized non-expansive mappings satisfying the Garcia-Falset property in uniformly convex Banach spaces. Some existing results for such mappings …
View article: Some New Fractional Interval-Valued Inequalities for Set-Valued H(α, 1 − α)-Godunova-Levin Mappings with Applications
Some New Fractional Interval-Valued Inequalities for Set-Valued H(α, 1 − α)-Godunova-Levin Mappings with Applications Open
Convex integral inequalities are an area of substantial interest in mathematical analysis because of their applications to a variety of fields such as optimization, probability theory, and functional analysis. This study derives general fo…
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…
View article: Common Attractor for Hutchinson θ-Contractive Operators in Partial Metric Spaces
Common Attractor for Hutchinson θ-Contractive Operators in Partial Metric Spaces Open
This paper investigates the existence of common attractors for generalized θ-Hutchinson operators within the framework of partial metric spaces. Utilizing a finite iterated function system composed of θ-contractive mappings, we establish t…
View article: Tensorial Maclaurin Approximation Bounds and Structural Properties for Mixed-Norm Orlicz–Zygmund Spaces
Tensorial Maclaurin Approximation Bounds and Structural Properties for Mixed-Norm Orlicz–Zygmund Spaces Open
This article explores two distinct function spaces: Hilbert spaces and mixed-Orlicz–Zygmund spaces with variable exponents. We first examine the relational properties of Hilbert spaces in a tensorial framework, utilizing self-adjoint opera…
View article: Existence and stability results in a fractional optimal control model for dengue and two-strains of salmonella typhi
Existence and stability results in a fractional optimal control model for dengue and two-strains of salmonella typhi Open
Co-infection with dengue and salmonella typhi could lead to devastating consequences, and sometimes even result in deaths. This could lead to tremendous hazards not only to country’s economy but also overloading health-care centers. In thi…
View article: Gradient Descent and Twice Differentiable Simpson-Type Inequalities via K-Riemann-Liouville Fractional Operators in Function Spaces
Gradient Descent and Twice Differentiable Simpson-Type Inequalities via K-Riemann-Liouville Fractional Operators in Function Spaces Open
This paper investigates novel properties of Hilbert spaces through tensor operations and establishes new bounds for Simpson-type inequalities using fractional integral operators. The results contribute to advancing the theoretical understa…
View article: Resolution of open problems via Orlicz-Zygmund spaces and new geometric properties of Morrey spaces in the Besov sense with non-standard growth
Resolution of open problems via Orlicz-Zygmund spaces and new geometric properties of Morrey spaces in the Besov sense with non-standard growth Open
In this paper, we introduced a novel norm structure and corresponding modular for Orlicz-Zygmund spaces, designed to capture summability and integrability properties under non-standard growth conditions. Moreover, we established the Hermit…
View article: Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations
Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations Open
In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give so…
View article: Generalized αii-Closed Sets in Ordinary Topological Spaces
Generalized αii-Closed Sets in Ordinary Topological Spaces Open
The primary objective of this research is to introduce a novel type of generalized sets, which we have termed generalized αii-closed and generalized αii-open sets. The properties of these sets and their relationships with other types of se…
View article: Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation
Some Novel Inequalities for Godunova–Levin Preinvex Functions via Interval Set Inclusion (⊆) Relation Open
In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order rel…
View article: Common Fixed Point Theorems for Order Contractive Mappings on a <i>σ</i>‐Complete Vector Lattice
Common Fixed Point Theorems for Order Contractive Mappings on a <i>σ</i>‐Complete Vector Lattice Open
In this paper, we prove some common fixed point theorems for order contractive mappings on a σ ‐complete vector lattice. We apply new results to study the well‐posedness of a common fixed point problem for two contractive mappings. Our pro…
View article: Some new integral bounds for Godunova-Levin functions via fractional integral operators
Some new integral bounds for Godunova-Levin functions via fractional integral operators Open
This paper derives some new Hermite-Hadamard inequality and its different product versions, along with interesting non-trivial examples and remarks. Furthermore, we apply some of our results to special means as an application.
View article: New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals
New versions of the Hermite–Hadamard inequality for $(\phi -h)$-integrals Open
In this paper, we prove some new versions of the Hermite–Hadamard inequality for ( ϕ − h ) $({\phi}-h)$ -integrals. For this aim, we use the tangent and secant lines at the same special points. Moreover, we investigate the relations betwee…
View article: Some New Fractional Hermite-Hadamard Type Inequalities for Generalized Class of Godunova-Levin Functions by Means of Interval Center-Radius Order Relation with Applications
Some New Fractional Hermite-Hadamard Type Inequalities for Generalized Class of Godunova-Levin Functions by Means of Interval Center-Radius Order Relation with Applications Open
The purpose of this article is to establish several new forms of Hermite-Hadamard inequalities by utilizing fractional integral operators via a totally interval midpoint-radius order relation for differentiable Godunova-Levin mappings. Mor…
View article: Fixed Point Results of Fuzzy Multivalued Graphic Contractive Mappings in Generalized Parametric Metric Spaces
Fixed Point Results of Fuzzy Multivalued Graphic Contractive Mappings in Generalized Parametric Metric Spaces Open
The aim of this paper is to introduce to a pair of fuzzy graphic rational F-contraction multivalued mappings and to study the necessary condition for the existence of common fixed points of fuzzy multivalued mappings in the setup of genera…
View article: Existence of fixed points of large MR-Kannan contractions in Banach Spaces
Existence of fixed points of large MR-Kannan contractions in Banach Spaces Open
The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. S…
View article: AI Unleashed: Pioneering Trends and Future Directions in Artificial Intelligence
AI Unleashed: Pioneering Trends and Future Directions in Artificial Intelligence Open
Artificial Intelligence (AI) expeditiously transmutes from a specialized area of study to a key component of contemporary technology, propelling breakthroughs in a wide range of industries. AI Unleashed, Pioneering Trends and Future Direct…
View article: Fractional Hermite–Hadamard, Newton–Milne, and Convexity Involving Arithmetic–Geometric Mean-Type Inequalities in Hilbert and Mixed-Norm Morrey Spaces ℓq(·)(Mp(·),v(·)) with Variable Exponents
Fractional Hermite–Hadamard, Newton–Milne, and Convexity Involving Arithmetic–Geometric Mean-Type Inequalities in Hilbert and Mixed-Norm Morrey Spaces ℓq(·)(Mp(·),v(·)) with Variable Exponents Open
Function spaces play a crucial role in the study and application of mathematical inequalities. They provide a structured framework within which inequalities can be formulated, analyzed, and applied. They allow for the extension of inequali…
View article: Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance
Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance Open
The aim of this paper is to study the sufficient conditions for the existence of fixed points of Perov type T -contractive mappings in the setup of complete cone b -metric space associated with generalized c -distance. Some examples are pr…
View article: Bounds of Different Integral Operators in Tensorial Hilbert and Variable Exponent Function Spaces
Bounds of Different Integral Operators in Tensorial Hilbert and Variable Exponent Function Spaces Open
In dynamical systems, Hilbert spaces provide a useful framework for analyzing and solving problems because they are able to handle infinitely dimensional spaces. Many dynamical systems are described by linear operators acting on a Hilbert …
View article: Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities
Generalization of quantum calculus and corresponding Hermite–Hadamard inequalities Open
The aim of this paper is first to introduce generalizations of quantum integrals and derivatives which are called $$(\phi \,-\,h)$$ integrals and $$(\phi \,-\,h)$$ derivatives, respectively. Then we investigate some implicit …
View article: Modified Semi-Analytical Approach for Duffing Equation
Modified Semi-Analytical Approach for Duffing Equation Open
This research endeavour-investigates the enhanced adaptation of the Laplace-based variational iteration method (VIM) tailored specifically for tackling the Duffing Equation. This is accomplished by incorporating the Lagrange multiplier as …
View article: Nonstandard Nearly Exact Analysis of the FitzHugh–Nagumo Model
Nonstandard Nearly Exact Analysis of the FitzHugh–Nagumo Model Open
The FitzHugh–Nagumo model has been used empirically to model certain types of neuronal activities. It is also a non-linear dynamical system applicable to chemical kinetics, population dynamics, epidemiology and pattern formation. In the li…