3 papers
math.OC2024
Generic continuity of the perturbed minima of certain parametric optimization problems
Hristina Topalova, Nadia Zlateva
We show that in a quite general framework, the parameterized optimization problem can be so perturbed as to be generically well-posed. As an application, we provide a contribution…
math.OC2023
Simultaneous perturbed minimization of a convergent sequence of functions
Hristina Topalova, Nadia Zlateva
We establish a general method for simultaneously perturbing a convergent sequence of functions in such a way that the sequence of strong minima of the perturbed functions tend to t…
math.FA2023
Perturbation Method in Orlicz Sequence Spaces
Hristina Topalova, Nadia Zlateva
We develop a new perturbation method in Orlicz sequence spaces with Orlicz function satisfying condition at zero. This result allows one to support from below an…