6 papers
Strongly Singular Nonlocal Kirchhoff-Type Equations with Variable Exponents: Existence, Regularity, and Renormalized Solutions
M. H. M. Rashid
This work resolves the open problem of strong singularity () in nonlocal Kirchhoff-type equations with variable exponents through five original theorems that collectively…
Stability and Regularization of Quasi-Variational Inequalities under Monotone Operator Perturbations
M. H. M. Rashid
This paper establishes comprehensive stability results for quasi-variational inequalities (QVIs) under monotone perturbations of the governing operator. We prove strong convergence…
Energy-Based Modeling and Structure-Preserving Discretization of Physical Systems
M. H. M Rashid
This paper develops a comprehensive mathematical framework for energy-based modeling of physical systems, with particular emphasis on preserving fundamental structural properties t…
Improved Upper Bounds for Numerical Radius Inequalities of Operator Matrices and Their Applications
M. H. M. Rashid
This study presents new upper bounds for the numerical radii of operator matrices, with a focus on and block matrices acting on Hilbert space direct sums.…
Tighter Inequalities for -Numerical Radii of Operator Matrices and Their Applications
M. H. M. Rashid
This paper establishes new upper bounds for the -numerical radius of operator matrices in semi-Hilbertian spaces by leveraging the -Buzano inequality and developing refined t…
New Improvements to Heron and Heinz Inequality Using Matrix Techniques
M. H. M. Rashid, Wael Mahmoud Mohammad Salameh
This paper undertakes a thorough investigation of matrix means interpolation and comparison. We expand the parameter beyond the closed interval to cover the ent…