continuous-time dynamics 1projection neural networks 1stability analysis 1state-dependent metric 1variational inequalities 1
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math.OC2026
Convergence Rates for Variational Inequality Projection Neural Networks with a State-Dependent Metric
Mohammed Alshahrani
We study continuous-time projection neural networks for variational inequalities on closed convex sets. A positive definite matrix that depends on the state preconditions the opera…
math.OC2026
Projection and contraction methods with double inertial steps for variational inclusion problems on Hilbert spaces
Moin Uddin, Mohammed Alshahrani, Qamrul Hasan Ansari
In this paper, we propose three projection--contraction algorithms for solving variational inclusion problems in the setting of Hilbert spaces, each incorporating a double inertial…
math.OC2026
State-Dependent Metric Projection Neural Network for Variational Inequalities
Mohammed Alshahrani
The paper proposes a state‑dependent metric projection neural network that adapts the projection geometry with the system state, providing a continuous‑time preconditioned method f…