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Mujahid Abbas

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Open access Oct 2026

Inertial Self-Adaptive Viscosity Algorithm for Common Solution of Split Mixed Equilibrium, Split Variational Inclusion and Fixed Point Problems

This study aims to propose a self-adaptive viscosity-type algorithm with inertial effects to find the common solutions of the split mixed equilibrium, split variational inclusion and common fixed point problems associated with nonexpansive mappings. It is worth mentioning that the step size employed in this algorithm i...

Muhammad Waseem Asghar, Mujahid Abbas · 0 citations
Open access Oct 2026

Closed-Form Gramians and Riccati Solutions for Reduced Second-Order Energy-System Benchmarks

Reduced circuit and electromechanical models often lead to the scalar second-order system ay″+by′+cy=u(t). General controllability, minimum-input-energy, and LQR results for such systems are standard; the contribution here is an explicit specialization that exploits the companion-matrix decomposition A=μI+B, B2=ηI. Thi...

M. Ahmad, Mujahid Abbas, Muhammad Waseem Asghar · 0 citations
Open access Sep 2026

Resolvent-Free Inclusion Problems with Applications

In this paper, we propose a resolvent-free and projection-free iterative algorithm to solve monotone inclusion problems. The proposed method employs a double inertial extrapolation strategy, in which two distinct inertial steps are used to construct two extrapolated points, together with a new self-adaptive step-size f...

Mujahid Abbas, Muhammad Waseem Asghar · 0 citations
Open access Sep 2026

Solution Approximation of Equilibrium Fixed Point Problem and Applications

In this work, we prove the strong convergence of an inertial iterative scheme to approximate solutions of the equilibrium fixed point problem associated with nonexpansive mappings in Hilbert spaces. Numerical simulations are carried out to examine the performance of the proposed approach. The results indicate that the...

Mujahid Abbas, Muhammad Waseem Asghar · 0 citations

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