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math.FA2025

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…

math.FA2025

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.…

math.FA2025

Inequalities for the -Norm and -Numerical Radius of Operator Sums in Semi-Hilbertian Spaces with Applications

M. H. M. Rashid

This paper establishes several new inequalities for the -norm and -numerical radius of operator sums in semi-Hilbertian spaces, significantly advancing the existing theory. W…

math.FA2025

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…

math.FA2025

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…