Combining Strong Convergence, Values Fast Convergence and Vanishing of Gradients for a Proximal Point Algorithm Using Tikhonov Regularization in a Hilbert Space

A. C. Bagy, Z. Chbani, H. Riahi

In a real Hilbert space $\mathcal{H}$. Given any function $f$ convex differentiable whose solution set ${\mathrm{argmin}}_{\mathcal{H}}f$ is nonempty, by considering the Proximal Algorithm…