5 problems

Consider the over-damped penalized solution of the vibroimpact system and its limit. Higher-dimensional penalty-limit conjecture. The behavior of the limit of the over-damped penal…

Consider the over-damped penalty approximation for a vibroimpact system, possibly with a right-hand side, where the constraint set has convex corners and smooth, not necessarily co…

Let $f$ and $g$ define a convex constrained optimization problem of the form … For a penalty parameter $\Lambda$, consider the penalty relaxation … where $[g(x)]_+$ denotes the pos…

Exactness conjecture. Under additional assumptions, exactness should be possible, so that the parameters $\theta^\nu$ can remain bounded.

Consider a penalty model with penalty parameter $\lambda$ and a nonconvex objective function, and suppose suitable assumptions hold. Quadratic-rate conjecture. One can prove upper…