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An Inertial Proximal-Gradient Penalization Scheme for Constrained Convex Optimization Problems

An Inertial Proximal-Gradient Penalization Scheme for Constrained Convex Optimization Problems

We propose a proximal-gradient algorithm with penalization terms and inertial and memory effects for minimizing the sum of a proper, convex, and lower semicontinuous and a convex differentiable function subject to the set of minimizers of another convex differentiable function. We show that, under suitable choices for the step sizes …